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189690816 = 2637532663
BaseRepresentation
bin10110100111001…
…11001111000000
3111012221021212210
423103213033000
5342030101231
630453422120
74462226310
oct1323471700
9435837783
10189690816
1198091577
125363a940
13303b7ab3
141b29b440
15119bea46
hexb4e73c0

189690816 has 112 divisors (see below), whose sum is σ = 584630784. Its totient is φ = 53154816.

The previous prime is 189690799. The next prime is 189690817. The reversal of 189690816 is 618096981.

189690816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189690817) 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, 69901 + ... + 72563.

Almost surely, 2189690816 is an apocalyptic number.

189690816 is a gapful number since it is divisible by the number (16) 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 189690816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292315392).

189690816 is an abundant number, since it is smaller than the sum of its proper divisors (394939968).

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

189690816 is a wasteful number, since it uses less digits than its factorization.

189690816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 189690816 is about 13772.8289033154. The cubic root of 189690816 is about 574.5777022778.

The spelling of 189690816 in words is "one hundred eighty-nine million, six hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 159 168 192 212 224 318 336 371 424 448 636 672 742 848 1113 1272 1344 1484 1696 2226 2544 2663 2968 3392 4452 5088 5326 5936 7989 8904 10176 10652 11872 15978 17808 18641 21304 23744 31956 35616 37282 42608 55923 63912 71232 74564 85216 111846 127824 141139 149128 170432 223692 255648 282278 298256 423417 447384 511296 564556 596512 846834 894768 987973 1129112 1193024 1693668 1789536 1975946 2258224 2963919 3387336 3579072 3951892 4516448 5927838 6774672 7903784 9032896 11855676 13549344 15807568 23711352 27098688 31615136 47422704 63230272 94845408 189690816