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23106960 = 2432567479
BaseRepresentation
bin101100000100…
…1010110010000
31121110221210100
41120021112100
521403410320
62143132400
7400256142
oct130112620
947427710
1023106960
1112052668
1278a4100
134a30676
1430d6c92
152066790
hex1609590

23106960 has 120 divisors (see below), whose sum is σ = 78923520. Its totient is φ = 6057216.

The previous prime is 23106949. The next prime is 23107001. The reversal of 23106960 is 6960132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48001 + ... + 48479.

It is an arithmetic number, because the mean of its divisors is an integer number (657696).

Almost surely, 223106960 is an apocalyptic number.

23106960 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 23106960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39461760).

23106960 is an abundant number, since it is smaller than the sum of its proper divisors (55816560).

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

23106960 is a wasteful number, since it uses less digits than its factorization.

23106960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 23106960 is about 4806.9699395773. The cubic root of 23106960 is about 284.8268569758.

The spelling of 23106960 in words is "twenty-three million, one hundred six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 67 72 80 90 120 134 144 180 201 240 268 335 360 402 479 536 603 670 720 804 958 1005 1072 1206 1340 1437 1608 1916 2010 2395 2412 2680 2874 3015 3216 3832 4020 4311 4790 4824 5360 5748 6030 7185 7664 8040 8622 9580 9648 11496 12060 14370 16080 17244 19160 21555 22992 24120 28740 32093 34488 38320 43110 48240 57480 64186 68976 86220 96279 114960 128372 160465 172440 192558 256744 288837 320930 344880 385116 481395 513488 577674 641860 770232 962790 1155348 1283720 1444185 1540464 1925580 2310696 2567440 2888370 3851160 4621392 5776740 7702320 11553480 23106960