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189560540 = 225132173299
BaseRepresentation
bin10110100110001…
…11011011011100
3111012200200011202
423103013123130
5342011414130
630450535032
74461144431
oct1323073334
9435620152
10189560540
1198002704
1253597478
1330370700
141b265b88
1511996145
hexb4c76dc

189560540 has 72 divisors (see below), whose sum is σ = 456548400. Its totient is φ = 65854464.

The previous prime is 189560533. The next prime is 189560543. The reversal of 189560540 is 45065981.

It is a junction number, because it is equal to n+sod(n) for n = 189560494 and 189560503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189560543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55811 + ... + 59109.

It is an arithmetic number, because the mean of its divisors is an integer number (6340950).

Almost surely, 2189560540 is an apocalyptic number.

189560540 is a gapful number since it is divisible by the number (10) 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 189560540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228274200).

189560540 is an abundant number, since it is smaller than the sum of its proper divisors (266987860).

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

189560540 is a wasteful number, since it uses less digits than its factorization.

189560540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The square root of 189560540 is about 13768.0986341615. The cubic root of 189560540 is about 574.4461358532.

The spelling of 189560540 in words is "one hundred eighty-nine million, five hundred sixty thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 169 170 221 260 338 340 442 676 845 884 1105 1690 2210 2873 3299 3380 4420 5746 6598 11492 13196 14365 16495 28730 32990 42887 56083 57460 65980 85774 112166 171548 214435 224332 280415 428870 557531 560830 729079 857740 1115062 1121660 1458158 2230124 2787655 2916316 3645395 5575310 7290790 9478027 11150620 14581580 18956054 37912108 47390135 94780270 189560540