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130979328 = 293269317
BaseRepresentation
bin1111100111010…
…01011000000000
3100010110102212020
413303221120000
5232012314303
620555201440
73150206634
oct763513000
9303412766
10130979328
1167a30787
1237a46280
132119c47c
1413576dc4
15b773a53
hex7ce9600

130979328 has 80 divisors (see below), whose sum is σ = 351339120. Its totient is φ = 43360256.

The previous prime is 130979287. The next prime is 130979353. The reversal of 130979328 is 823979031.

It is a self number, because there is not a number n which added to its sum of digits gives 130979328.

It is a congruent number.

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, 413026 + ... + 413342.

It is an arithmetic number, because the mean of its divisors is an integer number (4391739).

Almost surely, 2130979328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130979328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175669560).

130979328 is an abundant number, since it is smaller than the sum of its proper divisors (220359792).

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

130979328 is an equidigital number, since it uses as much as digits as its factorization.

130979328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 130979328 is about 11444.6200461177. The cubic root of 130979328 is about 507.8485919083.

The spelling of 130979328 in words is "one hundred thirty million, nine hundred seventy-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 269 317 384 512 538 634 768 807 951 1076 1268 1536 1614 1902 2152 2536 3228 3804 4304 5072 6456 7608 8608 10144 12912 15216 17216 20288 25824 30432 34432 40576 51648 60864 68864 81152 85273 103296 121728 137728 162304 170546 206592 243456 255819 341092 413184 486912 511638 682184 1023276 1364368 2046552 2728736 4093104 5457472 8186208 10914944 16372416 21829888 32744832 43659776 65489664 130979328