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23278080 = 29357433
BaseRepresentation
bin101100011001…
…1001000000000
31121210122112010
41120303020000
521424344310
62150532520
7401601060
oct130631000
947718463
1023278080
111215a191
127967140
134a90517
14313d3a0
15209c320
hex1633200

23278080 has 160 divisors (see below), whose sum is σ = 85244544. Its totient is φ = 5308416.

The previous prime is 23278067. The next prime is 23278091. The reversal of 23278080 is 8087232.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 53544 + ... + 53976.

Almost surely, 223278080 is an apocalyptic number.

23278080 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 23278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42622272).

23278080 is an abundant number, since it is smaller than the sum of its proper divisors (61966464).

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

23278080 is an equidigital number, since it uses as much as digits as its factorization.

23278080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 23278080 is about 4824.7362622220. The cubic root of 23278080 is about 285.5282293431.

The spelling of 23278080 in words is "twenty-three million, two hundred seventy-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 433 448 480 512 560 640 672 768 840 866 896 960 1120 1280 1299 1344 1536 1680 1732 1792 1920 2165 2240 2560 2598 2688 3031 3360 3464 3584 3840 4330 4480 5196 5376 6062 6495 6720 6928 7680 8660 8960 9093 10392 10752 12124 12990 13440 13856 15155 17320 17920 18186 20784 24248 25980 26880 27712 30310 34640 36372 41568 45465 48496 51960 53760 55424 60620 69280 72744 83136 90930 96992 103920 110848 121240 138560 145488 166272 181860 193984 207840 221696 242480 277120 290976 332544 363720 387968 415680 484960 554240 581952 665088 727440 775936 831360 969920 1108480 1163904 1454880 1551872 1662720 1939840 2327808 2909760 3325440 3879680 4655616 5819520 7759360 11639040 23278080