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23039280 = 24325112909
BaseRepresentation
bin101011111100…
…0110100110000
31121100111221200
41113320310300
521344224110
62141451200
7366554625
oct127706460
947314850
1023039280
1112006830
127870b00
134a08914
1430ba34c
1520516c0
hex15f8d30

23039280 has 120 divisors (see below), whose sum is σ = 84436560. Its totient is φ = 5583360.

The previous prime is 23039257. The next prime is 23039281. The reversal of 23039280 is 8293032.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (23039281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6466 + ... + 9374.

It is an arithmetic number, because the mean of its divisors is an integer number (703638).

Almost surely, 223039280 is an apocalyptic number.

23039280 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 23039280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42218280).

23039280 is an abundant number, since it is smaller than the sum of its proper divisors (61397280).

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

23039280 is a wasteful number, since it uses less digits than its factorization.

23039280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 23039280 is about 4799.9249994141. The cubic root of 23039280 is about 284.5485002506.

The spelling of 23039280 in words is "twenty-three million, thirty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 2909 3960 5818 7920 8727 11636 14545 17454 23272 26181 29090 31999 34908 43635 46544 52362 58180 63998 69816 87270 95997 104724 116360 127996 130905 139632 159995 174540 191994 209448 232720 255992 261810 287991 319990 349080 383988 418896 479985 511984 523620 575982 639980 698160 767976 959970 1047240 1151964 1279960 1439955 1535952 1919940 2094480 2303928 2559920 2879910 3839880 4607856 5759820 7679760 11519640 23039280