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23830960 = 245378397
BaseRepresentation
bin101101011101…
…0000110110000
31122211201221011
41122322012300
522100042320
62210440304
7406363006
oct132720660
948751834
1023830960
11124a760a
127b93094
134c2507a
143244a76
15215b05a
hex16ba1b0

23830960 has 80 divisors (see below), whose sum is σ = 58183776. Its totient is φ = 9068544.

The previous prime is 23830943. The next prime is 23830969. The reversal of 23830960 is 6903832.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (23830969) 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, 245632 + ... + 245728.

Almost surely, 223830960 is an apocalyptic number.

23830960 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 23830960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29091888).

23830960 is an abundant number, since it is smaller than the sum of its proper divisors (34352816).

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

23830960 is a wasteful number, since it uses less digits than its factorization.

23830960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 23830960 is about 4881.6964264485. The cubic root of 23830960 is about 287.7711015591.

The spelling of 23830960 in words is "twenty-three million, eight hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 83 97 148 166 185 194 296 332 370 388 415 485 592 664 740 776 830 970 1328 1480 1552 1660 1940 2960 3071 3320 3589 3880 6142 6640 7178 7760 8051 12284 14356 15355 16102 17945 24568 28712 30710 32204 35890 40255 49136 57424 61420 64408 71780 80510 122840 128816 143560 161020 245680 287120 297887 322040 595774 644080 1191548 1489435 2383096 2978870 4766192 5957740 11915480 23830960