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19901364 = 2237792999
BaseRepresentation
bin100101111101…
…0101110110100
31101110002112120
41023322232310
520043320424
61550315540
7331105320
oct113725664
941402476
1019901364
111026320a
1267b8bb0
13417a572
142900980
151b31a79
hex12fabb4

19901364 has 48 divisors (see below), whose sum is σ = 53760000. Its totient is φ = 5612256.

The previous prime is 19901363. The next prime is 19901369. The reversal of 19901364 is 46310991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19901363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5137 + ... + 8135.

It is an arithmetic number, because the mean of its divisors is an integer number (1120000).

Almost surely, 219901364 is an apocalyptic number.

19901364 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 19901364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26880000).

19901364 is an abundant number, since it is smaller than the sum of its proper divisors (33858636).

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

19901364 is a wasteful number, since it uses less digits than its factorization.

19901364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 19901364 is about 4461.0944845408. The cubic root of 19901364 is about 270.9947939070.

The spelling of 19901364 in words is "nineteen million, nine hundred one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 158 237 316 474 553 948 1106 1659 2212 2999 3318 5998 6636 8997 11996 17994 20993 35988 41986 62979 83972 125958 236921 251916 473842 710763 947684 1421526 1658447 2843052 3316894 4975341 6633788 9950682 19901364