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102928686 = 2375973569
BaseRepresentation
bin1100010001010…
…01000100101110
321011200022121120
412020221010232
5202322204221
614114041410
72356610430
oct610510456
9234608546
10102928686
1153111933
122a579266
131842a863
14d954650
1590825c6
hex622912e

102928686 has 64 divisors (see below), whose sum is σ = 242956800. Its totient is φ = 28463616.

The previous prime is 102928673. The next prime is 102928687. The reversal of 102928686 is 686829201.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102928687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180610 + ... + 181178.

It is an arithmetic number, because the mean of its divisors is an integer number (3796200).

Almost surely, 2102928686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102928686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121478400).

102928686 is an abundant number, since it is smaller than the sum of its proper divisors (140028114).

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

102928686 is a wasteful number, since it uses less digits than its factorization.

102928686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713.

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 102928686 is about 10145.3775681342. The cubic root of 102928686 is about 468.6466060312.

The spelling of 102928686 in words is "one hundred two million, nine hundred twenty-eight thousand, six hundred eighty-six".

Divisors: 1 2 3 6 7 14 21 42 59 73 118 146 177 219 354 413 438 511 569 826 1022 1138 1239 1533 1707 2478 3066 3414 3983 4307 7966 8614 11949 12921 23898 25842 30149 33571 41537 60298 67142 83074 90447 100713 124611 180894 201426 234997 249222 290759 469994 581518 704991 872277 1409982 1744554 2450683 4901366 7352049 14704098 17154781 34309562 51464343 102928686