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23445720 = 23335171277
BaseRepresentation
bin101100101110…
…0000011011000
31122010011111000
41121130003120
522000230340
62154305000
7403166604
oct131340330
948104430
1023445720
1112264131
127a28160
134b1b90c
143184504
1520d1d30
hex165c0d8

23445720 has 128 divisors (see below), whose sum is σ = 82814400. Its totient is φ = 5879808.

The previous prime is 23445713. The next prime is 23445731. The reversal of 23445720 is 2754432.

23445720 = T720 + T721 + ... + T800.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17722 + ... + 18998.

Almost surely, 223445720 is an apocalyptic number.

23445720 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 23445720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41407200).

23445720 is an abundant number, since it is smaller than the sum of its proper divisors (59368680).

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

23445720 is a wasteful number, since it uses less digits than its factorization.

23445720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 23445720 is about 4842.0780662852. The cubic root of 23445720 is about 286.2120129094.

It can be divided in two parts, 234 and 45720, that added together give a palindrome (45954).

The spelling of 23445720 in words is "twenty-three million, four hundred forty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1277 1530 1836 2040 2295 2554 3060 3672 3831 4590 5108 6120 6385 7662 9180 10216 11493 12770 15324 18360 19155 21709 22986 25540 30648 34479 38310 43418 45972 51080 57465 65127 68958 76620 86836 91944 108545 114930 130254 137916 153240 172395 173672 195381 217090 229860 260508 275832 325635 344790 390762 434180 459720 521016 586143 651270 689580 781524 868360 976905 1172286 1302540 1379160 1563048 1953810 2344572 2605080 2930715 3907620 4689144 5861430 7815240 11722860 23445720