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23530680 = 23325163401
BaseRepresentation
bin101100111000…
…0110010111000
31122021111000200
41121300302320
522010440210
62200202200
7404002365
oct131606270
948244020
1023530680
1112311a48
127a69360
134b4b4a4
1431a746c
1520ec0c0
hex1670cb8

23530680 has 96 divisors (see below), whose sum is σ = 77135760. Its totient is φ = 6220800.

The previous prime is 23530673. The next prime is 23530693. The reversal of 23530680 is 8603532.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58480 + ... + 58880.

Almost surely, 223530680 is an apocalyptic number.

23530680 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 23530680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38567880).

23530680 is an abundant number, since it is smaller than the sum of its proper divisors (53605080).

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

23530680 is a wasteful number, since it uses less digits than its factorization.

23530680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 23530680 is about 4850.8432256671. The cubic root of 23530680 is about 286.5573106113.

The spelling of 23530680 in words is "twenty-three million, five hundred thirty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 163 180 326 360 401 489 652 802 815 978 1203 1304 1467 1604 1630 1956 2005 2406 2445 2934 3208 3260 3609 3912 4010 4812 4890 5868 6015 6520 7218 7335 8020 9624 9780 11736 12030 14436 14670 16040 18045 19560 24060 28872 29340 36090 48120 58680 65363 72180 130726 144360 196089 261452 326815 392178 522904 588267 653630 784356 980445 1176534 1307260 1568712 1960890 2353068 2614520 2941335 3921780 4706136 5882670 7843560 11765340 23530680