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13759704 = 23327231187
BaseRepresentation
bin110100011111…
…010011011000
3221220001202200
4310133103120
512010302304
61210530200
7224645520
oct64372330
927801680
1013759704
117848962
124736960
132b09c4a
141b82680
15131be39
hexd1f4d8

13759704 has 96 divisors (see below), whose sum is σ = 44478720. Its totient is φ = 3757248.

The previous prime is 13759693. The next prime is 13759747. The reversal of 13759704 is 40795731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10999 + ... + 12185.

It is an arithmetic number, because the mean of its divisors is an integer number (463320).

Almost surely, 213759704 is an apocalyptic number.

13759704 is a gapful number since it is divisible by the number (14) 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 13759704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22239360).

13759704 is an abundant number, since it is smaller than the sum of its proper divisors (30719016).

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

13759704 is a wasteful number, since it uses less digits than its factorization.

13759704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 13759704 is about 3709.4074998576. The cubic root of 13759704 is about 239.6273383131.

The spelling of 13759704 in words is "thirteen million, seven hundred fifty-nine thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1187 1288 1449 1656 1932 2374 2898 3561 3864 4748 5796 7122 8309 9496 10683 11592 14244 16618 21366 24927 27301 28488 33236 42732 49854 54602 66472 74781 81903 85464 99708 109204 149562 163806 191107 199416 218408 245709 299124 327612 382214 491418 573321 598248 655224 764428 982836 1146642 1528856 1719963 1965672 2293284 3439926 4586568 6879852 13759704