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102928272 = 24313116369
BaseRepresentation
bin1100010001010…
…00111110010000
321011200022001020
412020220332100
5202322201042
614114035440
72356606266
oct610507620
9234608036
10102928272
1153111597
122a578b80
131842a605
14d954436
1590823ec
hex6228f90

102928272 has 40 divisors (see below), whose sum is σ = 267944160. Its totient is φ = 34045440.

The previous prime is 102928229. The next prime is 102928291. The reversal of 102928272 is 272829201.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1897 + ... + 14472.

It is an arithmetic number, because the mean of its divisors is an integer number (6698604).

Almost surely, 2102928272 is an apocalyptic number.

102928272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102928272 is an abundant number, since it is smaller than the sum of its proper divisors (165015888).

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

102928272 is a wasteful number, since it uses less digits than its factorization.

102928272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16511 (or 16505 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 102928272 is about 10145.3571647330. The cubic root of 102928272 is about 468.6459776999.

The spelling of 102928272 in words is "one hundred two million, nine hundred twenty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 131 262 393 524 786 1048 1572 2096 3144 6288 16369 32738 49107 65476 98214 130952 196428 261904 392856 785712 2144339 4288678 6433017 8577356 12866034 17154712 25732068 34309424 51464136 102928272