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23690880 = 27345457
BaseRepresentation
bin101101001011…
…1111010000000
31122120121210000
41122113322000
522031102010
62203440000
7405240423
oct132277200
948517700
1023690880
1112411344
127b26000
134ba6395
1432099ba
15212e7c0
hex1697e80

23690880 has 160 divisors (see below), whose sum is σ = 84789540. Its totient is φ = 6303744.

The previous prime is 23690879. The next prime is 23690899. The reversal of 23690880 is 8809632.

It can be written as a sum of positive squares in 2 ways, for example, as 23270976 + 419904 = 4824^2 + 648^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×236908802 = 1122515590348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51612 + ... + 52068.

Almost surely, 223690880 is an apocalyptic number.

23690880 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 23690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42394770).

23690880 is an abundant number, since it is smaller than the sum of its proper divisors (61098660).

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

23690880 is an equidigital number, since it uses as much as digits as its factorization.

23690880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 23690880 is about 4867.3278089728. The cubic root of 23690880 is about 287.2061471412.

The spelling of 23690880 in words is "twenty-three million, six hundred ninety thousand, eight 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 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 457 480 540 576 640 648 720 810 864 914 960 1080 1152 1296 1371 1440 1620 1728 1828 1920 2160 2285 2592 2742 2880 3240 3456 3656 4113 4320 4570 5184 5484 5760 6480 6855 7312 8226 8640 9140 10368 10968 12339 12960 13710 14624 16452 17280 18280 20565 21936 24678 25920 27420 29248 32904 36560 37017 41130 43872 49356 51840 54840 58496 61695 65808 73120 74034 82260 87744 98712 109680 123390 131616 146240 148068 164520 175488 185085 197424 219360 246780 263232 292480 296136 329040 370170 394848 438720 493560 526464 592272 658080 740340 789696 877440 987120 1184544 1316160 1480680 1579392 1974240 2369088 2632320 2961360 3948480 4738176 5922720 7896960 11845440 23690880