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13896990 = 23251731293
BaseRepresentation
bin110101000000…
…110100011110
3222011001002100
4311000310132
512024200430
61213505530
7226060002
oct65006436
928131070
1013896990
117932018
1247a22a6
132b57593
141bba702
151347960
hexd40d1e

13896990 has 96 divisors (see below), whose sum is σ = 39626496. Its totient is φ = 3363840.

The previous prime is 13896989. The next prime is 13896997. The reversal of 13896990 is 9969831.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13896997) 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 47 ways as a sum of consecutive naturals, for example, 47284 + ... + 47576.

It is an arithmetic number, because the mean of its divisors is an integer number (412776).

Almost surely, 213896990 is an apocalyptic number.

13896990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13896990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813248).

13896990 is an abundant number, since it is smaller than the sum of its proper divisors (25729506).

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

13896990 is a wasteful number, since it uses less digits than its factorization.

13896990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 13896990 is about 3727.8666821656. The cubic root of 13896990 is about 240.4216545970.

The spelling of 13896990 in words is "thirteen million, eight hundred ninety-six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 31 34 45 51 62 85 90 93 102 153 155 170 186 255 279 293 306 310 465 510 527 558 586 765 879 930 1054 1395 1465 1530 1581 1758 2635 2637 2790 2930 3162 4395 4743 4981 5270 5274 7905 8790 9083 9486 9962 13185 14943 15810 18166 23715 24905 26370 27249 29886 44829 45415 47430 49810 54498 74715 81747 89658 90830 136245 149430 154411 163494 224145 272490 308822 408735 448290 463233 772055 817470 926466 1389699 1544110 2316165 2779398 4632330 6948495 13896990