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131493208 = 23711239281
BaseRepresentation
bin1111101011001…
…10110101011000
3100011102112202211
413311212311120
5232130240313
621014204504
73154450060
oct765466530
9304375684
10131493208
1168251880
1238053734
132131c342
141366c3a0
15b825e3d
hex7d66d58

131493208 has 64 divisors (see below), whose sum is σ = 320785920. Its totient is φ = 48998400.

The previous prime is 131493157. The next prime is 131493211. The reversal of 131493208 is 802394131.

It is a self number, because there is not a number n which added to its sum of digits gives 131493208.

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, 9528 + ... + 18808.

It is an arithmetic number, because the mean of its divisors is an integer number (5012280).

Almost surely, 2131493208 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 131493208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

131493208 is an abundant number, since it is smaller than the sum of its proper divisors (189292712).

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

131493208 is a wasteful number, since it uses less digits than its factorization.

131493208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9328 (or 9324 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 131493208 is about 11467.0487920825. The cubic root of 131493208 is about 508.5118840537.

The spelling of 131493208 in words is "one hundred thirty-one million, four hundred ninety-three thousand, two hundred eight".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 77 88 92 154 161 184 253 308 322 506 616 644 1012 1288 1771 2024 3542 7084 9281 14168 18562 37124 64967 74248 102091 129934 204182 213463 259868 408364 426926 519736 714637 816728 853852 1429274 1494241 1707704 2348093 2858548 2988482 4696186 5717096 5976964 9392372 11953928 16436651 18784744 32873302 65746604 131493208