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19958904 = 233271992
BaseRepresentation
bin100110000100…
…0110001111000
31101120000110200
41030020301320
520102141104
61551442200
7331435140
oct114106170
941500420
1019958904
11102a2469
126826360
13419a804
142917920
151b43b39
hex1308c78

19958904 has 72 divisors (see below), whose sum is σ = 62089560. Its totient is φ = 5673888.

The previous prime is 19958903. The next prime is 19958909. The reversal of 19958904 is 40985991.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 19958904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19958903) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 100197 + ... + 100395.

It is an arithmetic number, because the mean of its divisors is an integer number (862355).

Almost surely, 219958904 is an apocalyptic number.

19958904 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 19958904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31044780).

19958904 is an abundant number, since it is smaller than the sum of its proper divisors (42130656).

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

19958904 is a wasteful number, since it uses less digits than its factorization.

19958904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 19958904 is about 4467.5389198081. The cubic root of 19958904 is about 271.2557146608.

The spelling of 19958904 in words is "nineteen million, nine hundred fifty-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 199 252 398 504 597 796 1194 1393 1592 1791 2388 2786 3582 4179 4776 5572 7164 8358 11144 12537 14328 16716 25074 33432 39601 50148 79202 100296 118803 158404 237606 277207 316808 356409 475212 554414 712818 831621 950424 1108828 1425636 1663242 2217656 2494863 2851272 3326484 4989726 6652968 9979452 19958904