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196139232 = 2534312441
BaseRepresentation
bin10111011000011…
…01100011100000
3111200001220110000
423230031203200
5400202423412
631243540000
74601104332
oct1354154340
9450056400
10196139232
11a0796343
125582a600
1331834c23
141c099452
15123454dc
hexbb0d8e0

196139232 has 120 divisors (see below), whose sum is σ = 595691712. Its totient is φ = 63244800.

The previous prime is 196139227. The next prime is 196139243. The reversal of 196139232 is 232931691.

It is a happy number.

196139232 is a `hidden beast` number, since 1 + 9 + 613 + 9 + 2 + 32 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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 19 ways as a sum of consecutive naturals, for example, 79132 + ... + 81572.

Almost surely, 2196139232 is an apocalyptic number.

196139232 is a gapful number since it is divisible by the number (12) 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 196139232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297845856).

196139232 is an abundant number, since it is smaller than the sum of its proper divisors (399552480).

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

196139232 is a wasteful number, since it uses less digits than its factorization.

196139232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2477 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 196139232 is about 14004.9716886540. The cubic root of 196139232 is about 581.0160865236.

The spelling of 196139232 in words is "one hundred ninety-six million, one hundred thirty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 248 279 288 324 372 432 496 558 648 744 837 864 992 1116 1296 1488 1674 2232 2441 2511 2592 2976 3348 4464 4882 5022 6696 7323 8928 9764 10044 13392 14646 19528 20088 21969 26784 29292 39056 40176 43938 58584 65907 75671 78112 80352 87876 117168 131814 151342 175752 197721 227013 234336 263628 302684 351504 395442 454026 527256 605368 681039 703008 790884 908052 1054512 1210736 1362078 1581768 1816104 2043117 2109024 2421472 2724156 3163536 3632208 4086234 5448312 6129351 6327072 7264416 8172468 10896624 12258702 16344936 21793248 24517404 32689872 49034808 65379744 98069616 196139232