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13012480 = 295131723
BaseRepresentation
bin110001101000…
…111000000000
3220111002202201
4301220320000
511312344410
61142522544
7215414155
oct61507000
926432681
1013012480
117388518
124436454
132907ac0
141a2a22c
15122083a
hexc68e00

13012480 has 160 divisors (see below), whose sum is σ = 37122624. Its totient is φ = 4325376.

The previous prime is 13012471. The next prime is 13012487. The reversal of 13012480 is 8421031.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13012487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565749 + ... + 565771.

Almost surely, 213012480 is an apocalyptic number.

13012480 is a gapful number since it is divisible by the number (10) 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 13012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18561312).

13012480 is an abundant number, since it is smaller than the sum of its proper divisors (24110144).

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

13012480 is a wasteful number, since it uses less digits than its factorization.

13012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 13012480 is about 3607.2815249160. The cubic root of 13012480 is about 235.2086874172.

The spelling of 13012480 in words is "thirteen million, twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 17 20 23 26 32 34 40 46 52 64 65 68 80 85 92 104 115 128 130 136 160 170 184 208 221 230 256 260 272 299 320 340 368 391 416 442 460 512 520 544 598 640 680 736 782 832 884 920 1040 1088 1105 1196 1280 1360 1472 1495 1564 1664 1768 1840 1955 2080 2176 2210 2392 2560 2720 2944 2990 3128 3328 3536 3680 3910 4160 4352 4420 4784 5083 5440 5888 5980 6256 6656 7072 7360 7820 8320 8704 8840 9568 10166 10880 11776 11960 12512 14144 14720 15640 16640 17680 19136 20332 21760 23920 25024 25415 28288 29440 31280 33280 35360 38272 40664 43520 47840 50048 50830 56576 58880 62560 70720 76544 81328 95680 100096 101660 113152 125120 141440 153088 162656 191360 200192 203320 250240 282880 325312 382720 406640 500480 565760 650624 765440 813280 1000960 1301248 1626560 2602496 3253120 6506240 13012480