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23014720 = 265235359
BaseRepresentation
bin101011111001…
…0110101000000
31121022021021001
41113302311000
521342432340
62141141344
7366423211
oct127626500
947267231
1023014720
1111a9a333
12785a854
1349ca6a1
1430b1408
15204929a
hex15f2d40

23014720 has 112 divisors (see below), whose sum is σ = 59253120. Its totient is φ = 8493056.

The previous prime is 23014711. The next prime is 23014723. The reversal of 23014720 is 2741032.

23014720 is a nontrivial binomial coefficient, being equal to C(6785, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23014723) 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, 390051 + ... + 390109.

Almost surely, 223014720 is an apocalyptic number.

23014720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23014720 is the 6784-th triangular number.

23014720 is the 2262-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29626560).

23014720 is an abundant number, since it is smaller than the sum of its proper divisors (36238400).

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

23014720 is a wasteful number, since it uses less digits than its factorization.

23014720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 23014720 is about 4797.3659439321. The cubic root of 23014720 is about 284.4473542092.

Adding to 23014720 its reverse (2741032), we get a palindrome (25755752).

It can be divided in two parts, 2301 and 4720, that added together give a triangular number (7021 = T118).

The spelling of 23014720 in words is "twenty-three million, fourteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 53 59 64 80 92 106 115 118 160 184 212 230 236 265 295 320 368 424 460 472 530 590 736 848 920 944 1060 1180 1219 1357 1472 1696 1840 1888 2120 2360 2438 2714 3127 3392 3680 3776 4240 4720 4876 5428 6095 6254 6785 7360 8480 9440 9752 10856 12190 12508 13570 15635 16960 18880 19504 21712 24380 25016 27140 31270 39008 43424 48760 50032 54280 62540 71921 78016 86848 97520 100064 108560 125080 143842 195040 200128 217120 250160 287684 359605 390080 434240 500320 575368 719210 1000640 1150736 1438420 2301472 2876840 4602944 5753680 11507360 23014720