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102918984 = 2337612613
BaseRepresentation
bin1100010001001…
…10101101001000
321011122211022020
412020212231020
5202321401414
614113524440
72356540230
oct610465510
9234584266
10102918984
1153105613
122a573720
131842630c
14d950cc0
15907e7a9
hex6226b48

102918984 has 32 divisors (see below), whose sum is σ = 294054720. Its totient is φ = 29405376.

The previous prime is 102918961. The next prime is 102919007. The reversal of 102918984 is 489819201.

It is an interprime number because it is at equal distance from previous prime (102918961) and next prime (102919007).

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

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, 306139 + ... + 306474.

It is an arithmetic number, because the mean of its divisors is an integer number (9189210).

Almost surely, 2102918984 is an apocalyptic number.

102918984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102918984 is an abundant number, since it is smaller than the sum of its proper divisors (191135736).

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

102918984 is a wasteful number, since it uses less digits than its factorization.

102918984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612629 (or 612625 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 102918984 is about 10144.8994080769. The cubic root of 102918984 is about 468.6318807801.

The spelling of 102918984 in words is "one hundred two million, nine hundred eighteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 612613 1225226 1837839 2450452 3675678 4288291 4900904 7351356 8576582 12864873 14702712 17153164 25729746 34306328 51459492 102918984