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13075020 = 2234571153
BaseRepresentation
bin110001111000…
…001001001100
3220121021120000
4301320021030
511321400040
61144124300
7216064410
oct61701114
926537500
1013075020
117420502
124466690
13292a3ca
141a44d40
151234130
hexc7824c

13075020 has 120 divisors (see below), whose sum is σ = 46917024. Its totient is φ = 2985984.

The previous prime is 13075009. The next prime is 13075033. The reversal of 13075020 is 2057031.

It is a super-2 number, since 2×130750202 = 341912296000800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13074984 and 13075002.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10764 + ... + 11916.

Almost surely, 213075020 is an apocalyptic number.

13075020 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 13075020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23458512).

13075020 is an abundant number, since it is smaller than the sum of its proper divisors (33842004).

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

13075020 is a wasteful number, since it uses less digits than its factorization.

13075020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 13075020 is about 3615.9397118868. The cubic root of 13075020 is about 235.5849018394.

The spelling of 13075020 in words is "thirteen million, seventy-five thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1153 1260 1620 1890 2268 2306 2835 3459 3780 4612 5670 5765 6918 8071 10377 11340 11530 13836 16142 17295 20754 23060 24213 31131 32284 34590 40355 41508 48426 51885 62262 69180 72639 80710 93393 96852 103770 121065 124524 145278 155655 161420 186786 207540 217917 242130 290556 311310 363195 373572 435834 466965 484260 622620 653751 726390 871668 933930 1089585 1307502 1452780 1867860 2179170 2615004 3268755 4358340 6537510 13075020