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23688720 = 2433511997
BaseRepresentation
bin101101001011…
…1011000010000
31122120111211000
41122113120100
522031014340
62203422000
7405231216
oct132273020
948514730
1023688720
111240a760
127b24900
134ba53c3
143208cb6
15212dd30
hex1697610

23688720 has 160 divisors (see below), whose sum is σ = 89101440. Its totient is φ = 5736960.

The previous prime is 23688713. The next prime is 23688727. The reversal of 23688720 is 2788632.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23688713) and next prime (23688727).

It is a super-2 number, since 2×236887202 = 1122310910476800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23688727) by changing a digit.

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, 23262 + ... + 24258.

It is an arithmetic number, because the mean of its divisors is an integer number (556884).

Almost surely, 223688720 is an apocalyptic number.

23688720 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 23688720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44550720).

23688720 is an abundant number, since it is smaller than the sum of its proper divisors (65412720).

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

23688720 is a wasteful number, since it uses less digits than its factorization.

23688720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 23688720 is about 4867.1059162504. The cubic root of 23688720 is about 287.1974182670.

The spelling of 23688720 in words is "twenty-three million, six hundred eighty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 997 1080 1188 1320 1485 1584 1980 1994 2160 2376 2640 2970 2991 3960 3988 4752 4985 5940 5982 7920 7976 8973 9970 10967 11880 11964 14955 15952 17946 19940 21934 23760 23928 26919 29910 32901 35892 39880 43868 44865 47856 53838 54835 59820 65802 71784 79760 87736 89730 98703 107676 109670 119640 131604 134595 143568 164505 175472 179460 197406 215352 219340 239280 263208 269190 296109 329010 358920 394812 430704 438680 493515 526416 538380 592218 658020 717840 789624 877360 987030 1076760 1184436 1316040 1480545 1579248 1974060 2153520 2368872 2632080 2961090 3948120 4737744 5922180 7896240 11844360 23688720