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189993654 = 23319281659
BaseRepresentation
bin10110101001100…
…01001010110110
3111020111200022000
423110301022312
5342114244104
630504120130
74464630234
oct1324611266
9436450260
10189993654
1198279054
1253766046
13304928a6
141b339954
1511a2e639
hexb5312b6

189993654 has 64 divisors (see below), whose sum is σ = 446688000. Its totient is φ = 59693760.

The previous prime is 189993647. The next prime is 189993659. The reversal of 189993654 is 456399981.

189993654 is digitally balanced in base 2, 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 (54).

It is a self number, because there is not a number n which added to its sum of digits gives 189993654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189993659) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287977 + ... + 288635.

It is an arithmetic number, because the mean of its divisors is an integer number (6979500).

Almost surely, 2189993654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189993654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223344000).

189993654 is an abundant number, since it is smaller than the sum of its proper divisors (256694346).

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

189993654 is a wasteful number, since it uses less digits than its factorization.

189993654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 964 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 189993654 is about 13783.8185565539. The cubic root of 189993654 is about 574.8833073845.

The spelling of 189993654 in words is "one hundred eighty-nine million, nine hundred ninety-three thousand, six hundred fifty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 281 342 513 562 659 843 1026 1318 1686 1977 2529 3954 5058 5339 5931 7587 10678 11862 12521 15174 16017 17793 25042 32034 35586 37563 48051 75126 96102 112689 144153 185179 225378 288306 338067 370358 555537 676134 1111074 1666611 3333222 3518401 4999833 7036802 9999666 10555203 21110406 31665609 63331218 94996827 189993654