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130030272 = 2637929
BaseRepresentation
bin1111100000000…
…01101011000000
3100001200020000000
413300001223000
5231241432042
620523000000
73136145001
oct760015300
9301606000
10130030272
1167442739
1237669000
1320c294b8
14133ab1a8
15b63774c
hex7c01ac0

130030272 has 112 divisors (see below), whose sum is σ = 387400800. Its totient is φ = 43296768.

The previous prime is 130030267. The next prime is 130030273. The reversal of 130030272 is 272030031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (130030273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139504 + ... + 140432.

Almost surely, 2130030272 is an apocalyptic number.

130030272 is a gapful number since it is divisible by the number (12) 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 130030272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193700400).

130030272 is an abundant number, since it is smaller than the sum of its proper divisors (257370528).

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

130030272 is an frugal number, since it uses more digits than its factorization.

130030272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 130030272 is about 11403.0816887366. The cubic root of 130030272 is about 506.6190198346.

The spelling of 130030272 in words is "one hundred thirty million, thirty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 929 972 1296 1458 1728 1858 1944 2187 2592 2787 2916 3716 3888 4374 5184 5574 5832 7432 7776 8361 8748 11148 11664 14864 15552 16722 17496 22296 23328 25083 29728 33444 34992 44592 46656 50166 59456 66888 69984 75249 89184 100332 133776 139968 150498 178368 200664 225747 267552 300996 401328 451494 535104 601992 677241 802656 902988 1203984 1354482 1605312 1805976 2031723 2407968 2708964 3611952 4063446 4815936 5417928 7223904 8126892 10835856 14447808 16253784 21671712 32507568 43343424 65015136 130030272