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102260432 = 2419359937
BaseRepresentation
bin1100001100001…
…01111011010000
321010102100221102
412012011323100
5202134313212
614051443532
72351125241
oct606057320
9233370842
10102260432
11527a585a
122a2b65a8
1318255641
14d81ccc8
158e9e5c2
hex6185ed0

102260432 has 40 divisors (see below), whose sum is σ = 209361600. Its totient is φ = 48252672.

The previous prime is 102260383. The next prime is 102260443. The reversal of 102260432 is 234062201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108668 + ... + 109604.

It is an arithmetic number, because the mean of its divisors is an integer number (5234040).

Almost surely, 2102260432 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 102260432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104680800).

102260432 is an abundant number, since it is smaller than the sum of its proper divisors (107101168).

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

102260432 is a wasteful number, since it uses less digits than its factorization.

102260432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 102260432 is about 10112.3900241239. The cubic root of 102260432 is about 467.6301897510.

The spelling of 102260432 in words is "one hundred two million, two hundred sixty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 76 152 304 359 718 937 1436 1874 2872 3748 5744 6821 7496 13642 14992 17803 27284 35606 54568 71212 109136 142424 284848 336383 672766 1345532 2691064 5382128 6391277 12782554 25565108 51130216 102260432