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130916352 = 21337761
BaseRepresentation
bin1111100110110…
…10000000000000
3100010100020110210
413303122000000
5232003310402
620553554120
73146525220
oct763320000
9303306423
10130916352
1167998436
1237a15940
13211798c8
141355c080
15b76006c
hex7cda000

130916352 has 112 divisors (see below), whose sum is σ = 399483072. Its totient is φ = 37355520.

The previous prime is 130916297. The next prime is 130916363. The reversal of 130916352 is 253619031.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171652 + ... + 172412.

Almost surely, 2130916352 is an apocalyptic number.

130916352 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 130916352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199741536).

130916352 is an abundant number, since it is smaller than the sum of its proper divisors (268566720).

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

130916352 is an frugal number, since it uses more digits than its factorization.

130916352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 130916352 is about 11441.8683788969. The cubic root of 130916352 is about 507.7671861868.

The spelling of 130916352 in words is "one hundred thirty million, nine hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 761 768 896 1024 1344 1522 1536 1792 2048 2283 2688 3044 3072 3584 4096 4566 5327 5376 6088 6144 7168 8192 9132 10654 10752 12176 12288 14336 15981 18264 21308 21504 24352 24576 28672 31962 36528 42616 43008 48704 57344 63924 73056 85232 86016 97408 127848 146112 170464 172032 194816 255696 292224 340928 389632 511392 584448 681856 779264 1022784 1168896 1363712 1558528 2045568 2337792 2727424 3117056 4091136 4675584 5454848 6234112 8182272 9351168 10909696 16364544 18702336 21819392 32729088 43638784 65458176 130916352