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40931120 = 2454112479
BaseRepresentation
bin1001110000100…
…0111100110000
32212000111221102
42130020330300
540434243440
64021143532
71004623466
oct234107460
985014842
1040931120
112111717a
121185aba8
1386315c9
145616836
1538d7b15
hex2708f30

40931120 has 40 divisors (see below), whose sum is σ = 97493760. Its totient is φ = 15971840.

The previous prime is 40931119. The next prime is 40931131. The reversal of 40931120 is 2113904.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40931092 and 40931101.

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, 2960 + ... + 9519.

It is an arithmetic number, because the mean of its divisors is an integer number (2437344).

Almost surely, 240931120 is an apocalyptic number.

40931120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40931120 is an abundant number, since it is smaller than the sum of its proper divisors (56562640).

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

40931120 is a wasteful number, since it uses less digits than its factorization.

40931120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12533 (or 12527 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 40931120 is about 6397.7433521516. The cubic root of 40931120 is about 344.6285156357.

The spelling of 40931120 in words is "forty million, nine hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 12479 24958 49916 62395 99832 124790 199664 249580 499160 511639 998320 1023278 2046556 2558195 4093112 5116390 8186224 10232780 20465560 40931120