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13883490 = 23251923353
BaseRepresentation
bin110100111101…
…100001100010
3222010100120100
4310331201202
512023232430
61213323230
7226002435
oct64754142
928110510
1013883490
117922965
124796516
132b513aa
141bb581c
151343960
hexd3d862

13883490 has 96 divisors (see below), whose sum is σ = 39761280. Its totient is φ = 3345408.

The previous prime is 13883477. The next prime is 13883491. The reversal of 13883490 is 9438831.

13883490 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 a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13883491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39154 + ... + 39506.

It is an arithmetic number, because the mean of its divisors is an integer number (414180).

Almost surely, 213883490 is an apocalyptic number.

13883490 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 13883490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19880640).

13883490 is an abundant number, since it is smaller than the sum of its proper divisors (25877790).

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

13883490 is a wasteful number, since it uses less digits than its factorization.

13883490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 13883490 is about 3726.0555551414. The cubic root of 13883490 is about 240.3437781673.

The spelling of 13883490 in words is "thirteen million, eight hundred eighty-three thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 23 30 38 45 46 57 69 90 95 114 115 138 171 190 207 230 285 342 345 353 414 437 570 690 706 855 874 1035 1059 1311 1710 1765 2070 2118 2185 2622 3177 3530 3933 4370 5295 6354 6555 6707 7866 8119 10590 13110 13414 15885 16238 19665 20121 24357 31770 33535 39330 40242 40595 48714 60363 67070 73071 81190 100605 120726 121785 146142 154261 201210 243570 301815 308522 365355 462783 603630 730710 771305 925566 1388349 1542610 2313915 2776698 4627830 6941745 13883490