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92990640 = 2435675783
BaseRepresentation
bin1011000101011…
…10110010110000
320110222102011210
411202232302300
5142301200030
613121040120
72206256511
oct542566260
9213872153
1092990640
1148544276
1227186040
131635b262
14c4c8a08
15826cbb0
hex58aecb0

92990640 has 80 divisors (see below), whose sum is σ = 292624128. Its totient is φ = 24423168.

The previous prime is 92990609. The next prime is 92990659. The reversal of 92990640 is 4609929.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13189 + ... + 18971.

Almost surely, 292990640 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 92990640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146312064).

92990640 is an abundant number, since it is smaller than the sum of its proper divisors (199633488).

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

92990640 is a wasteful number, since it uses less digits than its factorization.

92990640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5866 (or 5860 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 92990640 is about 9643.1654553886. The cubic root of 92990640 is about 453.0502894820.

The spelling of 92990640 in words is "ninety-two million, nine hundred ninety thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1340 1608 2010 2680 3216 4020 5360 5783 8040 11566 16080 17349 23132 28915 34698 46264 57830 69396 86745 92528 115660 138792 173490 231320 277584 346980 387461 462640 693960 774922 1162383 1387920 1549844 1937305 2324766 3099688 3874610 4649532 5811915 6199376 7749220 9299064 11623830 15498440 18598128 23247660 30996880 46495320 92990640