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23057640 = 23325193371
BaseRepresentation
bin101011111110…
…1010011101000
31121101110010200
41113331103220
521400321030
62142112200
7366662304
oct127752350
947343120
1023057640
1112019601
12787b660
134a14098
1430c2d04
152056d60
hex15fd4e8

23057640 has 96 divisors (see below), whose sum is σ = 78904800. Its totient is φ = 5823360.

The previous prime is 23057633. The next prime is 23057641. The reversal of 23057640 is 4675032.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (23057641) 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, 5155 + ... + 8525.

It is an arithmetic number, because the mean of its divisors is an integer number (821925).

Almost surely, 223057640 is an apocalyptic number.

23057640 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 23057640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39452400).

23057640 is an abundant number, since it is smaller than the sum of its proper divisors (55847160).

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

23057640 is a wasteful number, since it uses less digits than its factorization.

23057640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 23057640 is about 4801.8371484256. The cubic root of 23057640 is about 284.6240657388.

The spelling of 23057640 in words is "twenty-three million, fifty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3371 3420 6742 6840 10113 13484 16855 20226 26968 30339 33710 40452 50565 60678 64049 67420 80904 101130 121356 128098 134840 151695 192147 202260 242712 256196 303390 320245 384294 404520 512392 576441 606780 640490 768588 960735 1152882 1213560 1280980 1537176 1921470 2305764 2561960 2882205 3842940 4611528 5764410 7685880 11528820 23057640