Search a number
-
+
130447008 = 25321931769
BaseRepresentation
bin1111100011001…
…11011010100000
3100002110101122200
413301213122200
5231343301013
620535533200
73142531656
oct761473240
9302411580
10130447008
11676a784a
123782a200
13210440a3
1413478dd6
15b6bae73
hex7c676a0

130447008 has 144 divisors (see below), whose sum is σ = 403603200. Its totient is φ = 39813120.

The previous prime is 130447003. The next prime is 130447067. The reversal of 130447008 is 800744031.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130447003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169248 + ... + 170016.

It is an arithmetic number, because the mean of its divisors is an integer number (2802800).

Almost surely, 2130447008 is an apocalyptic number.

130447008 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 130447008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201801600).

130447008 is an abundant number, since it is smaller than the sum of its proper divisors (273156192).

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

130447008 is a wasteful number, since it uses less digits than its factorization.

130447008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 130447008 is about 11421.3400264592. The cubic root of 130447008 is about 507.1596663419.

The spelling of 130447008 in words is "one hundred thirty million, four hundred forty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 31 32 36 38 48 57 62 72 76 93 96 114 124 144 152 171 186 228 248 279 288 304 342 372 456 496 558 589 608 684 744 769 912 992 1116 1178 1368 1488 1538 1767 1824 2232 2307 2356 2736 2976 3076 3534 4464 4614 4712 5301 5472 6152 6921 7068 8928 9228 9424 10602 12304 13842 14136 14611 18456 18848 21204 23839 24608 27684 28272 29222 36912 42408 43833 47678 55368 56544 58444 71517 73824 84816 87666 95356 110736 116888 131499 143034 169632 175332 190712 214551 221472 233776 262998 286068 350664 381424 429102 452941 467552 525996 572136 701328 762848 858204 905882 1051992 1144272 1358823 1402656 1716408 1811764 2103984 2288544 2717646 3432816 3623528 4076469 4207968 5435292 6865632 7247056 8152938 10870584 14494112 16305876 21741168 32611752 43482336 65223504 130447008