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197374080 = 2735176047
BaseRepresentation
bin10111100001110…
…11000010000000
3111202101122100010
423300323002000
5401011432310
631330224520
74614436431
oct1360730200
9452348303
10197374080
11a145a082
1256125140
1331b77cc7
141c2db488
15124db320
hexbc3b080

197374080 has 128 divisors (see below), whose sum is σ = 666247680. Its totient is φ = 49528832.

The previous prime is 197374043. The next prime is 197374081. The reversal of 197374080 is 80473791.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (197374081) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29617 + ... + 35663.

It is an arithmetic number, because the mean of its divisors is an integer number (5205060).

Almost surely, 2197374080 is an apocalyptic number.

197374080 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 197374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333123840).

197374080 is an abundant number, since it is smaller than the sum of its proper divisors (468873600).

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

197374080 is a wasteful number, since it uses less digits than its factorization.

197374080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6086 (or 6074 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 197374080 is about 14048.9885756947. The cubic root of 197374080 is about 582.2328516427.

The spelling of 197374080 in words is "one hundred ninety-seven million, three hundred seventy-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1920 2040 2176 2720 3264 4080 5440 6047 6528 8160 10880 12094 16320 18141 24188 30235 32640 36282 48376 60470 72564 90705 96752 102799 120940 145128 181410 193504 205598 241880 290256 308397 362820 387008 411196 483760 513995 580512 616794 725640 774016 822392 967520 1027990 1161024 1233588 1451280 1541985 1644784 1935040 2055980 2322048 2467176 2902560 3083970 3289568 3870080 4111960 4934352 5805120 6167940 6579136 8223920 9868704 11610240 12335880 13158272 16447840 19737408 24671760 32895680 39474816 49343520 65791360 98687040 197374080