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106462432 = 25173159107
BaseRepresentation
bin1100101100001…
…11110011100000
321102022212000001
412112013303200
5204223244212
614321505344
72431626046
oct626076340
9242285001
10106462432
115510588a
122b7a2254
131909712b
14101d4396
15952e657
hex6587ce0

106462432 has 96 divisors (see below), whose sum is σ = 235146240. Its totient is φ = 47216640.

The previous prime is 106462409. The next prime is 106462439. The reversal of 106462432 is 234264601.

It is a super-2 number, since 2×1064624322 = 22668498854709248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106462432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106462439) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 994923 + ... + 995029.

It is an arithmetic number, because the mean of its divisors is an integer number (2449440).

Almost surely, 2106462432 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 106462432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117573120).

106462432 is an abundant number, since it is smaller than the sum of its proper divisors (128683808).

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

106462432 is a wasteful number, since it uses less digits than its factorization.

106462432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 106462432 is about 10318.0633841821. The cubic root of 106462432 is about 473.9495634941.

The spelling of 106462432 in words is "one hundred six million, four hundred sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 31 32 34 59 62 68 107 118 124 136 214 236 248 272 428 472 496 527 544 856 944 992 1003 1054 1712 1819 1829 1888 2006 2108 3317 3424 3638 3658 4012 4216 6313 6634 7276 7316 8024 8432 12626 13268 14552 14632 16048 16864 25252 26536 29104 29264 31093 32096 50504 53072 56389 58208 58528 62186 101008 106144 107321 112778 124372 195703 202016 214642 225556 248744 391406 429284 451112 497488 782812 858568 902224 994976 1565624 1717136 1804448 3131248 3326951 3434272 6262496 6653902 13307804 26615608 53231216 106462432