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23120720 = 2457194153
BaseRepresentation
bin101100000110…
…0101101010000
31121111122122222
41120030231100
521404330340
62143320212
7400344230
oct130145520
947448588
1023120720
1112061a37
1278b0068
134a369cc
1430dbcc0
15206a8b5
hex160cb50

23120720 has 160 divisors (see below), whose sum is σ = 67495680. Its totient is φ = 7188480.

The previous prime is 23120711. The next prime is 23120737. The reversal of 23120720 is 2702132.

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, 436214 + ... + 436266.

It is an arithmetic number, because the mean of its divisors is an integer number (421848).

Almost surely, 223120720 is an apocalyptic number.

23120720 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 23120720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33747840).

23120720 is an abundant number, since it is smaller than the sum of its proper divisors (44374960).

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

23120720 is a wasteful number, since it uses less digits than its factorization.

23120720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 23120720 is about 4808.4009816154. The cubic root of 23120720 is about 284.8833830882.

Adding to 23120720 its reverse (2702132), we get a palindrome (25822852).

It can be divided in two parts, 23120 and 720, that multiplied together give a square (16646400 = 40802).

The spelling of 23120720 in words is "twenty-three million, one hundred twenty thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 41 53 56 70 76 80 82 95 106 112 133 140 152 164 190 205 212 265 266 280 287 304 328 371 380 410 424 530 532 560 574 656 665 742 760 779 820 848 1007 1060 1064 1148 1330 1435 1484 1520 1558 1640 1855 2014 2120 2128 2173 2296 2660 2870 2968 3116 3280 3710 3895 4028 4240 4346 4592 5035 5320 5453 5740 5936 6232 7049 7420 7790 8056 8692 10070 10640 10865 10906 11480 12464 14098 14840 15211 15580 16112 17384 20140 21730 21812 22960 27265 28196 29680 30422 31160 34768 35245 40280 41287 43460 43624 54530 56392 60844 62320 70490 76055 80560 82574 86920 87248 109060 112784 121688 140980 152110 165148 173840 206435 218120 243376 281960 289009 304220 330296 412870 436240 563920 578018 608440 660592 825740 1156036 1216880 1445045 1651480 2312072 2890090 3302960 4624144 5780180 11560360 23120720