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23830080 = 2635103241
BaseRepresentation
bin101101011100…
…1111001000000
31122211200201120
41122321321000
522100030310
62210432240
7406360311
oct132717100
948750646
1023830080
11124a698a
127b92680
134c24851
143244608
15215ab70
hex16b9e40

23830080 has 112 divisors (see below), whose sum is σ = 76712064. Its totient is φ = 6266880.

The previous prime is 23830067. The next prime is 23830151. The reversal of 23830080 is 8003832.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23830080.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98760 + ... + 99000.

Almost surely, 223830080 is an apocalyptic number.

23830080 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 23830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38356032).

23830080 is an abundant number, since it is smaller than the sum of its proper divisors (52881984).

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

23830080 is a wasteful number, since it uses less digits than its factorization.

23830080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 23830080 is about 4881.6062930146. The cubic root of 23830080 is about 287.7675593646.

The spelling of 23830080 in words is "twenty-three million, eight hundred thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 103 120 160 192 206 240 241 309 320 412 480 482 515 618 723 824 960 964 1030 1205 1236 1446 1545 1648 1928 2060 2410 2472 2892 3090 3296 3615 3856 4120 4820 4944 5784 6180 6592 7230 7712 8240 9640 9888 11568 12360 14460 15424 16480 19280 19776 23136 24720 24823 28920 32960 38560 46272 49440 49646 57840 74469 77120 98880 99292 115680 124115 148938 198584 231360 248230 297876 372345 397168 496460 595752 744690 794336 992920 1191504 1489380 1588672 1985840 2383008 2978760 3971680 4766016 5957520 7943360 11915040 23830080