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102239968 = 2523532621
BaseRepresentation
bin1100001100000…
…00111011100000
321010101022212111
412012000323200
5202133134333
614051205104
72351011465
oct606007340
9233338774
10102239968
1152791446
122a2a6794
131824922c
14d81566c
158e984cd
hex6180ee0

102239968 has 48 divisors (see below), whose sum is σ = 214081056. Its totient is φ = 47956480.

The previous prime is 102239947. The next prime is 102239971. The reversal of 102239968 is 869932201.

It is a happy number.

It is a super-2 number, since 2×1022399682 = 20906022113282048, 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 102239968.

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, 37698 + ... + 40318.

It is an arithmetic number, because the mean of its divisors is an integer number (4460022).

Almost surely, 2102239968 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 102239968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107040528).

102239968 is an abundant number, since it is smaller than the sum of its proper divisors (111841088).

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

102239968 is a wasteful number, since it uses less digits than its factorization.

102239968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2707 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 102239968 is about 10111.3781454360. The cubic root of 102239968 is about 467.5989941640.

The spelling of 102239968 in words is "one hundred two million, two hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 53 92 106 184 212 368 424 736 848 1219 1696 2438 2621 4876 5242 9752 10484 19504 20968 39008 41936 60283 83872 120566 138913 241132 277826 482264 555652 964528 1111304 1929056 2222608 3194999 4445216 6389998 12779996 25559992 51119984 102239968