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101663436 = 22372414217
BaseRepresentation
bin1100000111101…
…00001011001100
321002022001000110
412003310023030
5202011212221
614031000020
72343060600
oct603641314
9232261013
10101663436
1152428276
122a069010
13180a69a4
14d705500
158dd2776
hex60f42cc

101663436 has 72 divisors (see below), whose sum is σ = 282740976. Its totient is φ = 28331520.

The previous prime is 101663413. The next prime is 101663447. The reversal of 101663436 is 634366101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22000 + ... + 26216.

It is an arithmetic number, because the mean of its divisors is an integer number (3926958).

Almost surely, 2101663436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101663436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141370488).

101663436 is an abundant number, since it is smaller than the sum of its proper divisors (181077540).

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

101663436 is a wasteful number, since it uses less digits than its factorization.

101663436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4279 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 101663436 is about 10082.8287697451. The cubic root of 101663436 is about 466.7184053747.

The spelling of 101663436 in words is "one hundred one million, six hundred sixty-three thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 49 82 84 98 123 147 164 196 246 287 294 492 574 588 861 1148 1722 2009 3444 4018 4217 6027 8036 8434 12054 12651 16868 24108 25302 29519 50604 59038 88557 118076 172897 177114 206633 345794 354228 413266 518691 619899 691588 826532 1037382 1210279 1239798 2074764 2420558 2479596 3630837 4841116 7261674 8471953 14523348 16943906 25415859 33887812 50831718 101663436