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93245940 = 223251274079
BaseRepresentation
bin1011000111011…
…01000111110100
320111110101101100
411203231013310
5142332332230
613130330100
72211402024
oct543550764
9214411340
1093245940
11486a9067
1227289930
131641a518
14c553a84
1582bd660
hex58ed1f4

93245940 has 72 divisors (see below), whose sum is σ = 285143040. Its totient is φ = 24663744.

The previous prime is 93245909. The next prime is 93245959. The reversal of 93245940 is 4954239.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 93245895 and 93245904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20821 + ... + 24899.

It is an arithmetic number, because the mean of its divisors is an integer number (3960320).

Almost surely, 293245940 is an apocalyptic number.

93245940 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93245940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142571520).

93245940 is an abundant number, since it is smaller than the sum of its proper divisors (191897100).

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

93245940 is a wasteful number, since it uses less digits than its factorization.

93245940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4221 (or 4216 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 93245940 is about 9656.3937367943. The cubic root of 93245940 is about 453.4645177343.

The spelling of 93245940 in words is "ninety-three million, two hundred forty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 1143 1270 1524 1905 2286 2540 3810 4079 4572 5715 7620 8158 11430 12237 16316 20395 22860 24474 36711 40790 48948 61185 73422 81580 122370 146844 183555 244740 367110 518033 734220 1036066 1554099 2072132 2590165 3108198 4662297 5180330 6216396 7770495 9324594 10360660 15540990 18649188 23311485 31081980 46622970 93245940