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131993946 = 2327321379
BaseRepresentation
bin1111101111000…
…01000101011010
3100012100222122200
413313201011122
5232242301241
621033031030
73161634000
oct767410532
9305328580
10131993946
1168564007
1238255476
1321466236
141375ca70
15b8c44b6
hex7de115a

131993946 has 48 divisors (see below), whose sum is σ = 333528000. Its totient is φ = 37710792.

The previous prime is 131993929. The next prime is 131993947. The reversal of 131993946 is 649399131.

It is not an unprimeable number, because it can be changed into a prime (131993947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4516 + ... + 16863.

It is an arithmetic number, because the mean of its divisors is an integer number (6948500).

Almost surely, 2131993946 is an apocalyptic number.

131993946 is an abundant number, since it is smaller than the sum of its proper divisors (201534054).

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

131993946 is a wasteful number, since it uses less digits than its factorization.

131993946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21408 (or 21391 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 131993946 is about 11488.8618235228. The cubic root of 131993946 is about 509.1565528043.

The spelling of 131993946 in words is "one hundred thirty-one million, nine hundred ninety-three thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 2058 3087 6174 21379 42758 64137 128274 149653 192411 299306 384822 448959 897918 1047571 1346877 2095142 2693754 3142713 6285426 7332997 9428139 14665994 18856278 21998991 43997982 65996973 131993946