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130952832 = 273397859
BaseRepresentation
bin1111100111000…
…10111010000000
3100010102002111220
413303202322000
5232010442312
620554435040
73150036453
oct763427200
9303362456
10130952832
1167a1288a
1237a32a80
13211903aa
141356b49a
15b76ac8c
hex7ce2e80

130952832 has 64 divisors (see below), whose sum is σ = 349125600. Its totient is φ = 43490304.

The previous prime is 130952831. The next prime is 130952911. The reversal of 130952832 is 238259031.

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

It is a junction number, because it is equal to n+sod(n) for n = 130952793 and 130952802.

It is not an unprimeable number, because it can be changed into a prime (130952831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152019 + ... + 152877.

Almost surely, 2130952832 is an apocalyptic number.

130952832 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 130952832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174562800).

130952832 is an abundant number, since it is smaller than the sum of its proper divisors (218172768).

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

130952832 is an equidigital number, since it uses as much as digits as its factorization.

130952832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 130952832 is about 11443.4624130986. The cubic root of 130952832 is about 507.8143451206.

The spelling of 130952832 in words is "one hundred thirty million, nine hundred fifty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 397 794 859 1191 1588 1718 2382 2577 3176 3436 4764 5154 6352 6872 9528 10308 12704 13744 19056 20616 25408 27488 38112 41232 50816 54976 76224 82464 109952 152448 164928 329856 341023 682046 1023069 1364092 2046138 2728184 4092276 5456368 8184552 10912736 16369104 21825472 32738208 43650944 65476416 130952832