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91923680 = 2553143431
BaseRepresentation
bin1010111101010…
…10010011100000
320101222012120202
411132222103200
5142013024210
613042124332
72164224032
oct536522340
9211865522
1091923680
1147985692
12269506a8
1316076714
14c2cbc52
15810b9a5
hex57aa4e0

91923680 has 96 divisors (see below), whose sum is σ = 229920768. Its totient is φ = 34675200.

The previous prime is 91923673. The next prime is 91923683. The reversal of 91923680 is 8632919.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91923683) by changing a digit.

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, 213065 + ... + 213495.

It is an arithmetic number, because the mean of its divisors is an integer number (2395008).

Almost surely, 291923680 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 91923680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114960384).

91923680 is an abundant number, since it is smaller than the sum of its proper divisors (137997088).

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

91923680 is a wasteful number, since it uses less digits than its factorization.

91923680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 91923680 is about 9587.6837661658. The cubic root of 91923680 is about 451.3108772159.

The spelling of 91923680 in words is "ninety-one million, nine hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 43 62 80 86 124 155 160 172 215 248 310 344 430 431 496 620 688 860 862 992 1240 1333 1376 1720 1724 2155 2480 2666 3440 3448 4310 4960 5332 6665 6880 6896 8620 10664 13330 13361 13792 17240 18533 21328 26660 26722 34480 37066 42656 53320 53444 66805 68960 74132 92665 106640 106888 133610 148264 185330 213280 213776 267220 296528 370660 427552 534440 574523 593056 741320 1068880 1149046 1482640 2137760 2298092 2872615 2965280 4596184 5745230 9192368 11490460 18384736 22980920 45961840 91923680