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131038488 = 23327318387
BaseRepresentation
bin1111100111101…
…11110100011000
3100010120110000100
413303313310120
5232021212423
621000335400
73150544260
oct763676430
9303513010
10131038488
1167a71179
1237a74560
13211c0389
14135907a0
15b786343
hex7cf7d18

131038488 has 96 divisors (see below), whose sum is σ = 418728960. Its totient is φ = 36227520.

The previous prime is 131038483. The next prime is 131038493. The reversal of 131038488 is 884830131.

It is an interprime number because it is at equal distance from previous prime (131038483) and next prime (131038493).

It is a super-2 number, since 2×1310384882 = 34342170674652288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131038483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11431 + ... + 19817.

It is an arithmetic number, because the mean of its divisors is an integer number (4361760).

Almost surely, 2131038488 is an apocalyptic number.

131038488 is a gapful number since it is divisible by the number (18) 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 131038488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209364480).

131038488 is an abundant number, since it is smaller than the sum of its proper divisors (287690472).

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

131038488 is a wasteful number, since it uses less digits than its factorization.

131038488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8437 (or 8430 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 131038488 is about 11447.2043748681. The cubic root of 131038488 is about 507.9250411233.

The spelling of 131038488 in words is "one hundred thirty-one million, thirty-eight thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 3906 5208 7812 8387 15624 16774 25161 33548 50322 58709 67096 75483 100644 117418 150966 176127 201288 234836 259997 301932 352254 469672 519994 528381 603864 704508 779991 1039988 1056762 1409016 1559982 1819979 2079976 2113524 2339973 3119964 3639958 4227048 4679946 5459937 6239928 7279916 9359892 10919874 14559832 16379811 18719784 21839748 32759622 43679496 65519244 131038488