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13700304 = 2432891069
BaseRepresentation
bin110100010000…
…110011010000
3221210001021200
4310100303100
512001402204
61205351200
7224310402
oct64206320
927701250
1013700304
117808272
124708500
132ab8bb7
141b68b72
151309539
hexd10cd0

13700304 has 60 divisors (see below), whose sum is σ = 38808900. Its totient is φ = 4511232.

The previous prime is 13700299. The next prime is 13700329. The reversal of 13700304 is 40300731.

It can be written as a sum of positive squares in 2 ways, for example, as 4410000 + 9290304 = 2100^2 + 3048^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12282 + ... + 13350.

It is an arithmetic number, because the mean of its divisors is an integer number (646815).

Almost surely, 213700304 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 13700304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19404450).

13700304 is an abundant number, since it is smaller than the sum of its proper divisors (25108596).

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

13700304 is a wasteful number, since it uses less digits than its factorization.

13700304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1163 counting only the distinct ones).

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

The square root of 13700304 is about 3701.3921705218. The cubic root of 13700304 is about 239.2820209170.

The spelling of 13700304 in words is "thirteen million, seven hundred thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 534 712 801 1068 1069 1424 1602 2136 2138 3204 3207 4272 4276 6408 6414 8552 9621 12816 12828 17104 19242 25656 38484 51312 76968 95141 153936 190282 285423 380564 570846 761128 856269 1141692 1522256 1712538 2283384 3425076 4566768 6850152 13700304