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189563136 = 283737953
BaseRepresentation
bin10110100110010…
…00000100000000
3111012200210201220
423103020010000
5342012010021
630450555040
74461155130
oct1323100400
9435623656
10189563136
1198004654
1253598a80
1330371949
141b266ac0
1511996cc6
hexb4c8100

189563136 has 144 divisors (see below), whose sum is σ = 592792704. Its totient is φ = 52641792.

The previous prime is 189563117. The next prime is 189563137. The reversal of 189563136 is 631365981.

It is a happy number.

189563136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (189563137) 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, 198436 + ... + 199388.

It is an arithmetic number, because the mean of its divisors is an integer number (4116616).

Almost surely, 2189563136 is an apocalyptic number.

189563136 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 189563136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296396352).

189563136 is an abundant number, since it is smaller than the sum of its proper divisors (403229568).

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

189563136 is an equidigital number, since it uses as much as digits as its factorization.

189563136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1002 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 189563136 is about 13768.1929097467. The cubic root of 189563136 is about 574.4487581560.

The spelling of 189563136 in words is "one hundred eighty-nine million, five hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 128 148 168 192 222 224 256 259 296 336 384 444 448 518 592 672 768 777 888 896 953 1036 1184 1344 1554 1776 1792 1906 2072 2368 2688 2859 3108 3552 3812 4144 4736 5376 5718 6216 6671 7104 7624 8288 9472 11436 12432 13342 14208 15248 16576 20013 22872 24864 26684 28416 30496 33152 35261 40026 45744 49728 53368 60992 66304 70522 80052 91488 99456 105783 106736 121984 141044 160104 182976 198912 211566 213472 243968 246827 282088 320208 365952 423132 426944 493654 564176 640416 731904 740481 846264 853888 987308 1128352 1280832 1480962 1692528 1707776 1974616 2256704 2561664 2961924 3385056 3949232 4513408 5123328 5923848 6770112 7898464 9026816 11847696 13540224 15796928 23695392 27080448 31593856 47390784 63187712 94781568 189563136