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130716544 = 277236343
BaseRepresentation
bin1111100101010…
…01001110000000
3100002222002101111
413302221032000
5231430412134
620545413104
73145033540
oct762511600
9302862344
10130716544
1167871302
123793a194
132110998a
1413509320
15b720c64
hex7ca9380

130716544 has 64 divisors (see below), whose sum is σ = 310602240. Its totient is φ = 53577216.

The previous prime is 130716529. The next prime is 130716557. The reversal of 130716544 is 445617031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17437 + ... + 23779.

It is an arithmetic number, because the mean of its divisors is an integer number (4853160).

Almost surely, 2130716544 is an apocalyptic number.

130716544 is a gapful number since it is divisible by the number (14) 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 130716544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155301120).

130716544 is an abundant number, since it is smaller than the sum of its proper divisors (179885696).

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

130716544 is an equidigital number, since it uses as much as digits as its factorization.

130716544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6387 (or 6375 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 130716544 is about 11433.1336036976. The cubic root of 130716544 is about 507.5087320846.

The spelling of 130716544 in words is "one hundred thirty million, seven hundred sixteen thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 322 368 448 644 736 896 1288 1472 2576 2944 5152 6343 10304 12686 20608 25372 44401 50744 88802 101488 145889 177604 202976 291778 355208 405952 583556 710416 811904 1021223 1167112 1420832 2042446 2334224 2841664 4084892 4668448 5683328 8169784 9336896 16339568 18673792 32679136 65358272 130716544