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91379040 = 25351271499
BaseRepresentation
bin1010111001001…
…01010101100000
320100221112110220
411130211111200
5141343112130
613022323040
72156465124
oct534452540
9210845426
1091379040
1147643475
1226729480
1315c1584c
14c1c9584
158050410
hex5725560

91379040 has 96 divisors (see below), whose sum is σ = 290304000. Its totient is φ = 24159744.

The previous prime is 91379039. The next prime is 91379053. The reversal of 91379040 is 4097319.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 91378992 and 91379010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60211 + ... + 61709.

It is an arithmetic number, because the mean of its divisors is an integer number (3024000).

Almost surely, 291379040 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 91379040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000).

91379040 is an abundant number, since it is smaller than the sum of its proper divisors (198924960).

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

91379040 is a wasteful number, since it uses less digits than its factorization.

91379040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 91379040 is about 9559.2384633924. The cubic root of 91379040 is about 450.4177848435.

The spelling of 91379040 in words is "ninety-one million, three hundred seventy-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 127 160 240 254 381 480 508 635 762 1016 1270 1499 1524 1905 2032 2540 2998 3048 3810 4064 4497 5080 5996 6096 7495 7620 8994 10160 11992 12192 14990 15240 17988 20320 22485 23984 29980 30480 35976 44970 47968 59960 60960 71952 89940 119920 143904 179880 190373 239840 359760 380746 571119 719520 761492 951865 1142238 1522984 1903730 2284476 2855595 3045968 3807460 4568952 5711190 6091936 7614920 9137904 11422380 15229840 18275808 22844760 30459680 45689520 91379040