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131013440 = 2653147281
BaseRepresentation
bin1111100111100…
…01101101000000
3100010112011122122
413303301231000
5232014412230
621000023412
73150411245
oct763615500
9303464578
10131013440
1167a54378
1237a61b68
13211b1b5c
14135855cc
15b77dbe5
hex7cf1b40

131013440 has 112 divisors (see below), whose sum is σ = 330061824. Its totient is φ = 49459200.

The previous prime is 131013439. The next prime is 131013457. The reversal of 131013440 is 44310131.

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, 466100 + ... + 466380.

Almost surely, 2131013440 is an apocalyptic number.

131013440 is a gapful number since it is divisible by the number (10) 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 131013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165030912).

131013440 is an abundant number, since it is smaller than the sum of its proper divisors (199048384).

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

131013440 is a wasteful number, since it uses less digits than its factorization.

131013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 131013440 is about 11446.1102563273. The cubic root of 131013440 is about 507.8926757795.

Adding to 131013440 its reverse (44310131), we get a palindrome (175323571).

The spelling of 131013440 in words is "one hundred thirty-one million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 47 62 64 80 94 124 155 160 188 235 248 281 310 320 376 470 496 562 620 752 940 992 1124 1240 1405 1457 1504 1880 1984 2248 2480 2810 2914 3008 3760 4496 4960 5620 5828 7285 7520 8711 8992 9920 11240 11656 13207 14570 15040 17422 17984 22480 23312 26414 29140 34844 43555 44960 46624 52828 58280 66035 69688 87110 89920 93248 105656 116560 132070 139376 174220 211312 233120 264140 278752 348440 409417 422624 466240 528280 557504 696880 818834 845248 1056560 1393760 1637668 2047085 2113120 2787520 3275336 4094170 4226240 6550672 8188340 13101344 16376680 26202688 32753360 65506720 131013440