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189136896 = 21731337
BaseRepresentation
bin10110100011000…
…00000000000000
3111011220011001020
423101200000000
5341404340041
630433505440
74454431344
oct1321400000
9434804036
10189136896
1197843393
1253412280
1330252930
141b195624
1511910866
hexb460000

189136896 has 144 divisors (see below), whose sum is σ = 557840304. Its totient is φ = 56623104.

The previous prime is 189136891. The next prime is 189136901. The reversal of 189136896 is 698631981.

It is an interprime number because it is at equal distance from previous prime (189136891) and next prime (189136901).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189136891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5111790 + ... + 5111826.

It is an arithmetic number, because the mean of its divisors is an integer number (3873891).

Almost surely, 2189136896 is an apocalyptic number.

189136896 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 189136896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278920152).

189136896 is an abundant number, since it is smaller than the sum of its proper divisors (368703408).

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

189136896 is an frugal number, since it uses more digits than its factorization.

189136896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 55 counting only the distinct ones).

The product of its digits is 559872, while the sum is 51.

The square root of 189136896 is about 13752.7050430088. The cubic root of 189136896 is about 574.0178783377.

The spelling of 189136896 in words is "one hundred eighty-nine million, one hundred thirty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 128 148 156 192 208 222 256 296 312 384 416 444 481 512 592 624 768 832 888 962 1024 1184 1248 1443 1536 1664 1776 1924 2048 2368 2496 2886 3072 3328 3552 3848 4096 4736 4992 5772 6144 6656 7104 7696 8192 9472 9984 11544 12288 13312 14208 15392 16384 18944 19968 23088 24576 26624 28416 30784 32768 37888 39936 46176 49152 53248 56832 61568 65536 75776 79872 92352 98304 106496 113664 123136 131072 151552 159744 184704 196608 212992 227328 246272 303104 319488 369408 393216 425984 454656 492544 606208 638976 738816 851968 909312 985088 1212416 1277952 1477632 1703936 1818624 1970176 2424832 2555904 2955264 3637248 3940352 4849664 5111808 5910528 7274496 7880704 11821056 14548992 15761408 23642112 31522816 47284224 63045632 94568448 189136896