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23157792 = 253372547
BaseRepresentation
bin101100001010…
…1110000100000
31121120112112000
41120111300200
521412022132
62144204000
7400560300
oct130256040
947515460
1023157792
1112087879
127909600
134a4a848
14310b600
15207687c
hex1615c20

23157792 has 144 divisors (see below), whose sum is σ = 78714720. Its totient is φ = 6604416.

The previous prime is 23157773. The next prime is 23157809. The reversal of 23157792 is 29775132.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42063 + ... + 42609.

It is an arithmetic number, because the mean of its divisors is an integer number (546630).

Almost surely, 223157792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23157792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39357360).

23157792 is an abundant number, since it is smaller than the sum of its proper divisors (55556928).

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

23157792 is a wasteful number, since it uses less digits than its factorization.

23157792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 559 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 23157792 is about 4812.2543573672. The cubic root of 23157792 is about 285.0355634291.

The spelling of 23157792 in words is "twenty-three million, one hundred fifty-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 547 588 672 756 784 864 882 1008 1094 1176 1323 1512 1568 1641 1764 2016 2188 2352 2646 3024 3282 3528 3829 4376 4704 4923 5292 6048 6564 7056 7658 8752 9846 10584 11487 13128 14112 14769 15316 17504 19692 21168 22974 26256 26803 29538 30632 34461 39384 42336 45948 52512 53606 59076 61264 68922 78768 80409 91896 103383 107212 118152 122528 137844 157536 160818 183792 206766 214424 236304 241227 275688 321636 367584 413532 428848 472608 482454 551376 643272 723681 827064 857696 964908 1102752 1286544 1447362 1654128 1929816 2573088 2894724 3308256 3859632 5789448 7719264 11578896 23157792