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130554936 = 23334911231
BaseRepresentation
bin1111100100000…
…01110000111000
3100002122212201000
413302001300320
5231410224221
620542125000
73143461431
oct762016070
9302585630
10130554936
1167770946
1237880760
1321081255
14134a6488
15b6dce26
hex7c81c38

130554936 has 64 divisors (see below), whose sum is σ = 363686400. Its totient is φ = 43394400.

The previous prime is 130554913. The next prime is 130554973. The reversal of 130554936 is 639455031.

130554936 is a `hidden beast` number, since 13 + 0 + 554 + 93 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 130554936.

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, 105441 + ... + 106671.

It is an arithmetic number, because the mean of its divisors is an integer number (5682600).

Almost surely, 2130554936 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 130554936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181843200).

130554936 is an abundant number, since it is smaller than the sum of its proper divisors (233131464).

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

130554936 is a wasteful number, since it uses less digits than its factorization.

130554936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 130554936 is about 11426.0638891965. The cubic root of 130554936 is about 507.2994974258.

The spelling of 130554936 in words is "one hundred thirty million, five hundred fifty-four thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 491 982 1231 1473 1964 2462 2946 3693 3928 4419 4924 5892 7386 8838 9848 11079 11784 13257 14772 17676 22158 26514 29544 33237 35352 44316 53028 66474 88632 106056 132948 265896 604421 1208842 1813263 2417684 3626526 4835368 5439789 7253052 10879578 14506104 16319367 21759156 32638734 43518312 65277468 130554936