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13073040 = 2432567271
BaseRepresentation
bin110001110111…
…101010010000
3220121011211200
4301313222100
511321314130
61144111200
7216055551
oct61675220
926534750
1013073040
117419a72
124465500
132929536
141a44328
151233760
hexc77a90

13073040 has 120 divisors (see below), whose sum is σ = 44723328. Its totient is φ = 3421440.

The previous prime is 13073023. The next prime is 13073057. The reversal of 13073040 is 4037031.

13073040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13073023) and next prime (13073057).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48105 + ... + 48375.

Almost surely, 213073040 is an apocalyptic number.

13073040 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 13073040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22361664).

13073040 is an abundant number, since it is smaller than the sum of its proper divisors (31650288).

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

13073040 is a wasteful number, since it uses less digits than its factorization.

13073040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 13073040 is about 3615.6659137702. The cubic root of 13073040 is about 235.5730093998.

The spelling of 13073040 in words is "thirteen million, seventy-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 67 72 80 90 120 134 144 180 201 240 268 271 335 360 402 536 542 603 670 720 804 813 1005 1072 1084 1206 1340 1355 1608 1626 2010 2168 2412 2439 2680 2710 3015 3216 3252 4020 4065 4336 4824 4878 5360 5420 6030 6504 8040 8130 9648 9756 10840 12060 12195 13008 16080 16260 18157 19512 21680 24120 24390 32520 36314 39024 48240 48780 54471 65040 72628 90785 97560 108942 145256 163413 181570 195120 217884 272355 290512 326826 363140 435768 544710 653652 726280 817065 871536 1089420 1307304 1452560 1634130 2178840 2614608 3268260 4357680 6536520 13073040