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23478720 = 263537661
BaseRepresentation
bin101100110010…
…0000111000000
31122011211202020
41121210013000
522002304340
62155121440
7403365036
oct131440700
948154666
1023478720
1112286a01
127a43280
134b30945
143192556
1520db9d0
hex16641c0

23478720 has 112 divisors (see below), whose sum is σ = 76675488. Its totient is φ = 6082560.

The previous prime is 23478713. The next prime is 23478727. The reversal of 23478720 is 2787432.

It is an interprime number because it is at equal distance from previous prime (23478713) and next prime (23478727).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23478727) 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, 35190 + ... + 35850.

Almost surely, 223478720 is an apocalyptic number.

23478720 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 23478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38337744).

23478720 is an abundant number, since it is smaller than the sum of its proper divisors (53196768).

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

23478720 is a wasteful number, since it uses less digits than its factorization.

23478720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 23478720 is about 4845.4844958992. The cubic root of 23478720 is about 286.3462317006.

The spelling of 23478720 in words is "twenty-three million, four hundred seventy-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 148 160 185 192 222 240 296 320 370 444 480 555 592 661 740 888 960 1110 1184 1322 1480 1776 1983 2220 2368 2644 2960 3305 3552 3966 4440 5288 5920 6610 7104 7932 8880 9915 10576 11840 13220 15864 17760 19830 21152 24457 26440 31728 35520 39660 42304 48914 52880 63456 73371 79320 97828 105760 122285 126912 146742 158640 195656 211520 244570 293484 317280 366855 391312 489140 586968 634560 733710 782624 978280 1173936 1467420 1565248 1956560 2347872 2934840 3913120 4695744 5869680 7826240 11739360 23478720