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23070080 = 2751129113
BaseRepresentation
bin101100000000…
…0010110000000
31121102002012102
41120000112000
521401220310
62142245532
7400043465
oct130002600
947362172
1023070080
1112027990
1278868a8
134a19947
1430c766c
15205a8a5
hex1600580

23070080 has 128 divisors (see below), whose sum is σ = 62791200. Its totient is φ = 8028160.

The previous prime is 23070041. The next prime is 23070083. The reversal of 23070080 is 8007032.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23070083) 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, 204104 + ... + 204216.

Almost surely, 223070080 is an apocalyptic number.

23070080 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 23070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31395600).

23070080 is an abundant number, since it is smaller than the sum of its proper divisors (39721120).

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

23070080 is a wasteful number, since it uses less digits than its factorization.

23070080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 23070080 is about 4803.1323113152. The cubic root of 23070080 is about 284.6752430899.

The spelling of 23070080 in words is "twenty-three million, seventy thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 64 80 88 110 113 116 128 145 160 176 220 226 232 290 319 320 352 440 452 464 565 580 638 640 704 880 904 928 1130 1160 1243 1276 1408 1595 1760 1808 1856 2260 2320 2486 2552 3190 3277 3520 3616 3712 4520 4640 4972 5104 6215 6380 6554 7040 7232 9040 9280 9944 10208 12430 12760 13108 14464 16385 18080 18560 19888 20416 24860 25520 26216 32770 36047 36160 39776 40832 49720 51040 52432 65540 72094 72320 79552 99440 102080 104864 131080 144188 159104 180235 198880 204160 209728 262160 288376 360470 397760 419456 524320 576752 720940 795520 1048640 1153504 1441880 2097280 2307008 2883760 4614016 5767520 11535040 23070080