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23089536 = 273417131
BaseRepresentation
bin101100000010…
…1000110000000
31121110001220000
41120011012000
521402331121
62142520000
7400154301
oct130050600
947401800
1023089536
1112040568
127896000
134a25762
1430d07a8
152061526
hex1605180

23089536 has 160 divisors (see below), whose sum is σ = 73311480. Its totient is φ = 7188480.

The previous prime is 23089531. The next prime is 23089543. The reversal of 23089536 is 63598032.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23089536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23089531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 176191 + ... + 176321.

Almost surely, 223089536 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 23089536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36655740).

23089536 is an abundant number, since it is smaller than the sum of its proper divisors (50221944).

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

23089536 is a wasteful number, since it uses less digits than its factorization.

23089536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 23089536 is about 4805.1572294775. The cubic root of 23089536 is about 284.7552469342.

The spelling of 23089536 in words is "twenty-three million, eighty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 131 136 144 153 162 192 204 216 262 272 288 306 324 384 393 408 432 459 524 544 576 612 648 786 816 864 918 1048 1088 1152 1179 1224 1296 1377 1572 1632 1728 1836 2096 2176 2227 2358 2448 2592 2754 3144 3264 3456 3537 3672 4192 4454 4716 4896 5184 5508 6288 6528 6681 7074 7344 8384 8908 9432 9792 10368 10611 11016 12576 13362 14148 14688 16768 17816 18864 19584 20043 21222 22032 25152 26724 28296 29376 35632 37728 40086 42444 44064 50304 53448 56592 58752 60129 71264 75456 80172 84888 88128 106896 113184 120258 142528 150912 160344 169776 176256 180387 213792 226368 240516 285056 320688 339552 360774 427584 452736 481032 641376 679104 721548 855168 962064 1282752 1358208 1443096 1924128 2565504 2886192 3848256 5772384 7696512 11544768 23089536