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131029976 = 23711347613
BaseRepresentation
bin1111100111101…
…01101111011000
3100010120000100002
413303311233120
5232020424401
621000232132
73150510410
oct763655730
9303500302
10131029976
1167a65840
1237a6b648
13211b953c
141358b640
15b783a6b
hex7cf5bd8

131029976 has 64 divisors (see below), whose sum is σ = 307687680. Its totient is φ = 50820480.

The previous prime is 131029967. The next prime is 131029993. The reversal of 131029976 is 679920131.

It is a happy number.

It is a super-2 number, since 2×1310299762 = 34337709221121152, which contains 22 as substring.

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, 213446 + ... + 214058.

It is an arithmetic number, because the mean of its divisors is an integer number (4807620).

Almost surely, 2131029976 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 131029976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153843840).

131029976 is an abundant number, since it is smaller than the sum of its proper divisors (176657704).

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

131029976 is a wasteful number, since it uses less digits than its factorization.

131029976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 38.

The square root of 131029976 is about 11446.8325749965. The cubic root of 131029976 is about 507.9140429511.

The spelling of 131029976 in words is "one hundred thirty-one million, twenty-nine thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 347 613 616 694 1226 1388 2429 2452 2776 3817 4291 4858 4904 6743 7634 8582 9716 13486 15268 17164 19432 26719 26972 30536 34328 47201 53438 53944 94402 106876 188804 212711 213752 377608 425422 850844 1488977 1701688 2339821 2977954 4679642 5955908 9359284 11911816 16378747 18718568 32757494 65514988 131029976