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196169040 = 2435510091
BaseRepresentation
bin10111011000101…
…00110101010000
3111200010102100000
423230110311100
5400204402130
631244330000
74601260254
oct1354246520
9450112300
10196169040
11a0806781
1255843900
1331845672
141c0a6264
151234e260
hexbb14d50

196169040 has 120 divisors (see below), whose sum is σ = 683268768. Its totient is φ = 52306560.

The previous prime is 196169027. The next prime is 196169063. The reversal of 196169040 is 40961691.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 196168986 and 196169004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14395 + ... + 24485.

Almost surely, 2196169040 is an apocalyptic number.

196169040 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 196169040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341634384).

196169040 is an abundant number, since it is smaller than the sum of its proper divisors (487099728).

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

196169040 is a wasteful number, since it uses less digits than its factorization.

196169040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10119 (or 10101 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 196169040 is about 14006.0358417362. The cubic root of 196169040 is about 581.0455180827.

The spelling of 196169040 in words is "one hundred ninety-six million, one hundred sixty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 10091 19440 20182 30273 40364 50455 60546 80728 90819 100910 121092 151365 161456 181638 201820 242184 272457 302730 363276 403640 454095 484368 544914 605460 726552 807280 817371 908190 1089828 1210920 1362285 1453104 1634742 1816380 2179656 2421840 2452113 2724570 3269484 3632760 4086855 4359312 4904226 5449140 6538968 7265520 8173710 9808452 10898280 12260565 13077936 16347420 19616904 21796560 24521130 32694840 39233808 49042260 65389680 98084520 196169040