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131970924 = 22334725999
BaseRepresentation
bin1111101110110…
…11011101101100
3100012022211002000
413313123131230
5232241032144
621032332300
73161506611
oct767333554
9305284060
10131970924
1168548788
1238244090
1321458907
1413754508
15b8bc769
hex7ddb76c

131970924 has 48 divisors (see below), whose sum is σ = 349440000. Its totient is φ = 43052688.

The previous prime is 131970919. The next prime is 131970929. The reversal of 131970924 is 429079131.

It is an interprime number because it is at equal distance from previous prime (131970919) and next prime (131970929).

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

It is not an unprimeable number, because it can be changed into a prime (131970929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7924 + ... + 18075.

It is an arithmetic number, because the mean of its divisors is an integer number (7280000).

Almost surely, 2131970924 is an apocalyptic number.

It is an amenable number.

131970924 is an abundant number, since it is smaller than the sum of its proper divisors (217469076).

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

131970924 is a wasteful number, since it uses less digits than its factorization.

131970924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26059 (or 26051 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 131970924 is about 11487.8598529056. The cubic root of 131970924 is about 509.1269492149.

The spelling of 131970924 in words is "one hundred thirty-one million, nine hundred seventy thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 846 1269 1692 2538 5076 25999 51998 77997 103996 155994 233991 311988 467982 701973 935964 1221953 1403946 2443906 2807892 3665859 4887812 7331718 10997577 14663436 21995154 32992731 43990308 65985462 131970924