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23417680 = 24511132389
BaseRepresentation
bin101100101010…
…1001101010000
31122001202000111
41121111031100
521443331210
62153531104
7403022056
oct131251520
948052014
1023417680
1112245060
127a13a94
134b0bc20
1431781d6
1520c888a
hex1655350

23417680 has 160 divisors (see below), whose sum is σ = 67495680. Its totient is φ = 7434240.

The previous prime is 23417677. The next prime is 23417711. The reversal of 23417680 is 8671432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263076 + ... + 263164.

It is an arithmetic number, because the mean of its divisors is an integer number (421848).

Almost surely, 223417680 is an apocalyptic number.

23417680 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 23417680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33747840).

23417680 is an abundant number, since it is smaller than the sum of its proper divisors (44078000).

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

23417680 is a wasteful number, since it uses less digits than its factorization.

23417680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 23417680 is about 4839.1817490150. The cubic root of 23417680 is about 286.0978686036.

It can be divided in two parts, 234176 and 80, that added together give a 4-th power (234256 = 224).

The spelling of 23417680 in words is "twenty-three million, four hundred seventeen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 23 26 40 44 46 52 55 65 80 88 89 92 104 110 115 130 143 176 178 184 208 220 230 253 260 286 299 356 368 440 445 460 506 520 572 598 712 715 880 890 920 979 1012 1040 1144 1157 1196 1265 1424 1430 1495 1780 1840 1958 2024 2047 2288 2314 2392 2530 2860 2990 3289 3560 3916 4048 4094 4628 4784 4895 5060 5720 5785 5980 6578 7120 7832 8188 9256 9790 10120 10235 11440 11570 11960 12727 13156 15664 16376 16445 18512 19580 20240 20470 22517 23140 23920 25454 26312 26611 32752 32890 39160 40940 45034 46280 50908 52624 53222 63635 65780 78320 81880 90068 92560 101816 106444 112585 127270 131560 133055 163760 180136 203632 212888 225170 254540 263120 266110 292721 360272 425776 450340 509080 532220 585442 900680 1018160 1064440 1170884 1463605 1801360 2128880 2341768 2927210 4683536 5854420 11708840 23417680