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23405720 = 235131923103
BaseRepresentation
bin101100101001…
…0010010011000
31122001010121112
41121102102120
521442440340
62153355452
7402642152
oct131222230
948033545
1023405720
1112237078
127a08b88
134b06650
143173ad2
1520c5065
hex1652498

23405720 has 128 divisors (see below), whose sum is σ = 62899200. Its totient is φ = 7755264.

The previous prime is 23405693. The next prime is 23405729. The reversal of 23405720 is 2750432.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23405729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227189 + ... + 227291.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 223405720 is an apocalyptic number.

23405720 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 23405720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31449600).

23405720 is an abundant number, since it is smaller than the sum of its proper divisors (39493480).

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

23405720 is a wasteful number, since it uses less digits than its factorization.

23405720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 23405720 is about 4837.9458450876. The cubic root of 23405720 is about 286.0491545096.

The spelling of 23405720 in words is "twenty-three million, four hundred five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 19 20 23 26 38 40 46 52 65 76 92 95 103 104 115 130 152 184 190 206 230 247 260 299 380 412 437 460 494 515 520 598 760 824 874 920 988 1030 1196 1235 1339 1495 1748 1957 1976 2060 2185 2369 2392 2470 2678 2990 3496 3914 4120 4370 4738 4940 5356 5681 5980 6695 7828 8740 9476 9785 9880 10712 11362 11845 11960 13390 15656 17480 18952 19570 22724 23690 25441 26780 28405 30797 39140 45011 45448 47380 50882 53560 56810 61594 78280 90022 94760 101764 113620 123188 127205 153985 180044 203528 225055 227240 246376 254410 307970 360088 450110 508820 585143 615940 900220 1017640 1170286 1231880 1800440 2340572 2925715 4681144 5851430 11702860 23405720