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13790088 = 2334131637
BaseRepresentation
bin110100100110…
…101110001000
3221221121110000
4310212232020
512012240323
61211323000
7225133224
oct64465610
927847400
1013790088
117869774
124750460
132b1aa20
141b8d784
151325e43
hexd26b88

13790088 has 80 divisors (see below), whose sum is σ = 41621580. Its totient is φ = 4240512.

The previous prime is 13790083. The next prime is 13790089. The reversal of 13790088 is 88009731.

It can be written as a sum of positive squares in 2 ways, for example, as 10614564 + 3175524 = 3258^2 + 1782^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13790083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7606 + ... + 9242.

Almost surely, 213790088 is an apocalyptic number.

13790088 is a gapful number since it is divisible by the number (18) 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 13790088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20810790).

13790088 is an abundant number, since it is smaller than the sum of its proper divisors (27831492).

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

13790088 is a wasteful number, since it uses less digits than its factorization.

13790088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 13790088 is about 3713.5007742022. The cubic root of 13790088 is about 239.8035893057.

The spelling of 13790088 in words is "thirteen million, seven hundred ninety thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 1637 2106 2808 3274 4212 4911 6548 8424 9822 13096 14733 19644 21281 29466 39288 42562 44199 58932 63843 85124 88398 117864 127686 132597 170248 176796 191529 255372 265194 353592 383058 510744 530388 574587 766116 1060776 1149174 1532232 1723761 2298348 3447522 4596696 6895044 13790088