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23173120 = 21153173
BaseRepresentation
bin101100001100…
…1100000000000
31121121022112201
41120121200000
521413014440
62144402544
7400653055
oct130314000
947538481
1023173120
1112098343
127916454
134a54809
14311302c
15207b19a
hex1619800

23173120 has 96 divisors (see below), whose sum is σ = 58181760. Its totient is φ = 8847360.

The previous prime is 23173109. The next prime is 23173147. The reversal of 23173120 is 2137132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317404 + ... + 317476.

It is an arithmetic number, because the mean of its divisors is an integer number (606060).

Almost surely, 223173120 is an apocalyptic number.

23173120 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 23173120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29090880).

23173120 is an abundant number, since it is smaller than the sum of its proper divisors (35008640).

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

23173120 is an equidigital number, since it uses as much as digits as its factorization.

23173120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 23173120 is about 4813.8466946923. The cubic root of 23173120 is about 285.0984373209.

The spelling of 23173120 in words is "twenty-three million, one hundred seventy-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 73 80 124 128 146 155 160 248 256 292 310 320 365 496 512 584 620 640 730 992 1024 1168 1240 1280 1460 1984 2048 2263 2336 2480 2560 2920 3968 4526 4672 4960 5120 5840 7936 9052 9344 9920 10240 11315 11680 15872 18104 18688 19840 22630 23360 31744 36208 37376 39680 45260 46720 63488 72416 74752 79360 90520 93440 144832 149504 158720 181040 186880 289664 317440 362080 373760 579328 724160 747520 1158656 1448320 2317312 2896640 4634624 5793280 11586560 23173120