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130954272 = 25323127467
BaseRepresentation
bin1111100111000…
…11010000100000
3100010102011111020
413303203100200
5232011014042
620554445440
73150043611
oct763432040
9303364436
10130954272
1167a13979
1237a33880
1321190c47
141356bc08
15b76b3ec
hex7ce3420

130954272 has 96 divisors (see below), whose sum is σ = 362299392. Its totient is φ = 41336064.

The previous prime is 130954237. The next prime is 130954283. The reversal of 130954272 is 272459031.

It is a tau number, because it is divible by the number of its divisors (96).

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, 280183 + ... + 280649.

It is an arithmetic number, because the mean of its divisors is an integer number (3773952).

Almost surely, 2130954272 is an apocalyptic number.

130954272 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 130954272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181149696).

130954272 is an abundant number, since it is smaller than the sum of its proper divisors (231345120).

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

130954272 is a wasteful number, since it uses less digits than its factorization.

130954272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 130954272 is about 11443.5253309459. The cubic root of 130954272 is about 507.8162064777.

The spelling of 130954272 in words is "one hundred thirty million, nine hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 127 138 184 254 276 368 381 467 508 552 736 762 934 1016 1104 1401 1524 1868 2032 2208 2802 2921 3048 3736 4064 5604 5842 6096 7472 8763 10741 11208 11684 12192 14944 17526 21482 22416 23368 32223 35052 42964 44832 46736 59309 64446 70104 85928 93472 118618 128892 140208 171856 177927 237236 257784 280416 343712 355854 474472 515568 711708 948944 1031136 1364107 1423416 1897888 2728214 2846832 4092321 5456428 5693664 8184642 10912856 16369284 21825712 32738568 43651424 65477136 130954272