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23070960 = 2433511971
BaseRepresentation
bin101100000000…
…0100011110000
31121102010102000
41120000203300
521401232320
62142254000
7400046163
oct130004360
947363360
1023070960
1112028610
127887300
134a1a173
1430c7ada
15205ac90
hex16008f0

23070960 has 160 divisors (see below), whose sum is σ = 86780160. Its totient is φ = 5587200.

The previous prime is 23070907. The next prime is 23070973. The reversal of 23070960 is 6907032.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23275 + ... + 24245.

It is an arithmetic number, because the mean of its divisors is an integer number (542376).

Almost surely, 223070960 is an apocalyptic number.

23070960 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 23070960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43390080).

23070960 is an abundant number, since it is smaller than the sum of its proper divisors (63709200).

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

23070960 is a wasteful number, since it uses less digits than its factorization.

23070960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 23070960 is about 4803.2239173289. The cubic root of 23070960 is about 284.6788626558.

Adding to 23070960 its reverse (6907032), we get a palindrome (29977992).

The spelling of 23070960 in words is "twenty-three million, seventy thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 971 990 1080 1188 1320 1485 1584 1942 1980 2160 2376 2640 2913 2970 3884 3960 4752 4855 5826 5940 7768 7920 8739 9710 10681 11652 11880 14565 15536 17478 19420 21362 23304 23760 26217 29130 32043 34956 38840 42724 43695 46608 52434 53405 58260 64086 69912 77680 85448 87390 96129 104868 106810 116520 128172 131085 139824 160215 170896 174780 192258 209736 213620 233040 256344 262170 288387 320430 349560 384516 419472 427240 480645 512688 524340 576774 640860 699120 769032 854480 961290 1048680 1153548 1281720 1441935 1538064 1922580 2097360 2307096 2563440 2883870 3845160 4614192 5767740 7690320 11535480 23070960