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23413440 = 2635293
BaseRepresentation
bin101100101010…
…0001011000000
31122001112012110
41121110023000
521443212230
62153455320
7403003521
oct131241300
948045173
1023413440
1112241956
127a11540
134b0a00b
143176848
1520c74b0
hex16542c0

23413440 has 112 divisors (see below), whose sum is σ = 76992480. Its totient is φ = 6028288.

The previous prime is 23413433. The next prime is 23413441. The reversal of 23413440 is 4431432.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (23413441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 807346 + ... + 807374.

Almost surely, 223413440 is an apocalyptic number.

23413440 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 23413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38496240).

23413440 is an abundant number, since it is smaller than the sum of its proper divisors (53579040).

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

23413440 is an frugal number, since it uses more digits than its factorization.

23413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 23413440 is about 4838.7436385905. The cubic root of 23413440 is about 286.0806006223.

Adding to 23413440 its reverse (4431432), we get a palindrome (27844872).

The spelling of 23413440 in words is "twenty-three million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 145 160 174 192 232 240 290 320 348 435 464 480 580 696 841 870 928 960 1160 1392 1682 1740 1856 2320 2523 2784 3364 3480 4205 4640 5046 5568 6728 6960 8410 9280 10092 12615 13456 13920 16820 20184 24389 25230 26912 27840 33640 40368 48778 50460 53824 67280 73167 80736 97556 100920 121945 134560 146334 161472 195112 201840 243890 269120 292668 365835 390224 403680 487780 585336 731670 780448 807360 975560 1170672 1463340 1560896 1951120 2341344 2926680 3902240 4682688 5853360 7804480 11706720 23413440