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23820480 = 26345919
BaseRepresentation
bin101101011011…
…1100011000000
31122211012120000
41122313203000
522044223410
62210320000
7406320315
oct132674300
948735500
1023820480
111249a752
127b89000
134c20378
143240d0c
152157dc0
hex16b78c0

23820480 has 140 divisors (see below), whose sum is σ = 84825840. Its totient is φ = 6345216.

The previous prime is 23820473. The next prime is 23820487. The reversal of 23820480 is 8402832.

It is an interprime number because it is at equal distance from previous prime (23820473) and next prime (23820487).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23820487) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25461 + ... + 26379.

Almost surely, 223820480 is an apocalyptic number.

23820480 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 23820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42412920).

23820480 is an abundant number, since it is smaller than the sum of its proper divisors (61005360).

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

23820480 is an equidigital number, since it uses as much as digits as its factorization.

23820480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 23820480 is about 4880.6229110637. The cubic root of 23820480 is about 287.7289115768.

The spelling of 23820480 in words is "twenty-three million, eight hundred twenty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 919 960 1080 1296 1440 1620 1728 1838 2160 2592 2757 2880 3240 3676 4320 4595 5184 5514 6480 7352 8271 8640 9190 11028 12960 13785 14704 16542 18380 22056 24813 25920 27570 29408 33084 36760 41355 44112 49626 55140 58816 66168 73520 74439 82710 88224 99252 110280 124065 132336 147040 148878 165420 176448 198504 220560 248130 264672 294080 297756 330840 372195 397008 441120 496260 529344 595512 661680 744390 794016 882240 992520 1191024 1323360 1488780 1588032 1985040 2382048 2646720 2977560 3970080 4764096 5955120 7940160 11910240 23820480