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13011480 = 2332547769
BaseRepresentation
bin110001101000…
…101000011000
3220111001101200
4301220220120
511312331410
61142514200
7215411226
oct61505030
926431350
1013011480
117387799
124435960
132907501
141a29b16
1512203c0
hexc68a18

13011480 has 96 divisors (see below), whose sum is σ = 43243200. Its totient is φ = 3391488.

The previous prime is 13011469. The next prime is 13011487. The reversal of 13011480 is 8411031.

It is a super-2 number, since 2×130114802 = 338597223580800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13011487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16536 + ... + 17304.

It is an arithmetic number, because the mean of its divisors is an integer number (450450).

Almost surely, 213011480 is an apocalyptic number.

13011480 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 13011480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21621600).

13011480 is an abundant number, since it is smaller than the sum of its proper divisors (30231720).

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

13011480 is a wasteful number, since it uses less digits than its factorization.

13011480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 13011480 is about 3607.1429137199. The cubic root of 13011480 is about 235.2026620551.

The spelling of 13011480 in words is "thirteen million, eleven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 47 60 72 90 94 120 141 180 188 235 282 360 376 423 470 564 705 769 846 940 1128 1410 1538 1692 1880 2115 2307 2820 3076 3384 3845 4230 4614 5640 6152 6921 7690 8460 9228 11535 13842 15380 16920 18456 23070 27684 30760 34605 36143 46140 55368 69210 72286 92280 108429 138420 144572 180715 216858 276840 289144 325287 361430 433716 542145 650574 722860 867432 1084290 1301148 1445720 1626435 2168580 2602296 3252870 4337160 6505740 13011480