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197038080 = 2123251069
BaseRepresentation
bin10111011111010…
…01000000000000
3111201202120102200
423233221000000
5400420204310
631315113200
74611540021
oct1357510000
9451676380
10197038080
11a124a698
1255ba2800
1331a8b0a5
141c250c48
15124719c0
hexbbe9000

197038080 has 156 divisors (see below), whose sum is σ = 683620860. Its totient is φ = 52494336.

The previous prime is 197038069. The next prime is 197038091. The reversal of 197038080 is 80830791.

197038080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (197038069) and next prime (197038091).

It can be written as a sum of positive squares in 2 ways, for example, as 81432576 + 115605504 = 9024^2 + 10752^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183786 + ... + 184854.

It is an arithmetic number, because the mean of its divisors is an integer number (4382185).

Almost surely, 2197038080 is an apocalyptic number.

197038080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341810430).

197038080 is an abundant number, since it is smaller than the sum of its proper divisors (486582780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

197038080 is a wasteful number, since it uses less digits than its factorization.

197038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 197038080 is about 14037.0253259015. The cubic root of 197038080 is about 581.9022757236.

The spelling of 197038080 in words is "one hundred ninety-seven million, thirty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1069 1152 1280 1440 1536 1920 2048 2138 2304 2560 2880 3072 3207 3840 4096 4276 4608 5120 5345 5760 6144 6414 7680 8552 9216 9621 10240 10690 11520 12288 12828 15360 16035 17104 18432 19242 20480 21380 23040 25656 30720 32070 34208 36864 38484 42760 46080 48105 51312 61440 64140 68416 76968 85520 92160 96210 102624 128280 136832 153936 171040 184320 192420 205248 256560 273664 307872 342080 384840 410496 513120 547328 615744 684160 769680 820992 1026240 1094656 1231488 1368320 1539360 1641984 2052480 2189312 2462976 2736640 3078720 3283968 4104960 4378624 4925952 5473280 6157440 6567936 8209920 9851904 10946560 12314880 13135872 16419840 19703808 21893120 24629760 32839680 39407616 49259520 65679360 98519040 197038080