Search a number
-
+
130150272 = 273726917
BaseRepresentation
bin1111100000111…
…10111110000000
3100001220022121110
413300132332000
5231304302042
620525323320
73140154600
oct760367600
9301808543
10130150272
116751490a
1237706540
1320c6bcc5
14133dcc00
15b65d09c
hex7c1ef80

130150272 has 96 divisors (see below), whose sum is σ = 402212520. Its totient is φ = 37180416.

The previous prime is 130150243. The next prime is 130150297. The reversal of 130150272 is 272051031.

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

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15358 + ... + 22274.

Almost surely, 2130150272 is an apocalyptic number.

130150272 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 130150272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201106260).

130150272 is an abundant number, since it is smaller than the sum of its proper divisors (272062248).

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

130150272 is an equidigital number, since it uses as much as digits as its factorization.

130150272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6948 (or 6929 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 130150272 is about 11408.3422108561. The cubic root of 130150272 is about 506.7748184023.

The spelling of 130150272 in words is "one hundred thirty million, one hundred fifty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 6272 6917 9408 13834 18816 20751 27668 41502 48419 55336 83004 96838 110672 145257 166008 193676 221344 290514 332016 338933 387352 442688 581028 664032 677866 774704 885376 1016799 1162056 1328064 1355732 1549408 2033598 2324112 2656128 2711464 3098816 4067196 4648224 5422928 6197632 8134392 9296448 10845856 16268784 18592896 21691712 32537568 43383424 65075136 130150272