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23015640 = 23352331269
BaseRepresentation
bin101011111001…
…1000011011000
31121022022112010
41113303003120
521343000030
62141145520
7366425664
oct127630330
947268463
1023015640
1111a9aa9a
12785b2a0
1349cac2b
1430b18a4
1520496b0
hex15f30d8

23015640 has 128 divisors (see below), whose sum is σ = 74649600. Its totient is φ = 5660160.

The previous prime is 23015633. The next prime is 23015687. The reversal of 23015640 is 4651032.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85426 + ... + 85694.

It is an arithmetic number, because the mean of its divisors is an integer number (583200).

Almost surely, 223015640 is an apocalyptic number.

23015640 is a gapful number since it is divisible by the number (20) 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 23015640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37324800).

23015640 is an abundant number, since it is smaller than the sum of its proper divisors (51633960).

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

23015640 is a wasteful number, since it uses less digits than its factorization.

23015640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 23015640 is about 4797.4618289258. The cubic root of 23015640 is about 284.4511443644.

Adding to 23015640 its reverse (4651032), we get a palindrome (27666672).

The spelling of 23015640 in words is "twenty-three million, fifteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 31 40 46 60 62 69 92 93 115 120 124 138 155 184 186 230 248 269 276 310 345 372 460 465 538 552 620 690 713 744 807 920 930 1076 1240 1345 1380 1426 1614 1860 2139 2152 2690 2760 2852 3228 3565 3720 4035 4278 5380 5704 6187 6456 7130 8070 8339 8556 10695 10760 12374 14260 16140 16678 17112 18561 21390 24748 25017 28520 30935 32280 33356 37122 41695 42780 49496 50034 61870 66712 74244 83390 85560 92805 100068 123740 125085 148488 166780 185610 191797 200136 247480 250170 333560 371220 383594 500340 575391 742440 767188 958985 1000680 1150782 1534376 1917970 2301564 2876955 3835940 4603128 5753910 7671880 11507820 23015640