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23107080 = 23351747241
BaseRepresentation
bin101100000100…
…1011000001000
31121110221221210
41120021120020
521403411310
62143133120
7400256403
oct130113010
947427853
1023107080
1112052767
1278a41a0
134a30739
1430d6d3a
152066820
hex1609608

23107080 has 128 divisors (see below), whose sum is σ = 75271680. Its totient is φ = 5652480.

The previous prime is 23107057. The next prime is 23107093. The reversal of 23107080 is 8070132.

It is a super-2 number, since 2×231070802 = 1067874292252800, which contains 22 as substring.

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, 95760 + ... + 96000.

It is an arithmetic number, because the mean of its divisors is an integer number (588060).

Almost surely, 223107080 is an apocalyptic number.

23107080 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 23107080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37635840).

23107080 is an abundant number, since it is smaller than the sum of its proper divisors (52164600).

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

23107080 is a wasteful number, since it uses less digits than its factorization.

23107080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 23107080 is about 4806.9824214366. The cubic root of 23107080 is about 284.8273500330.

The spelling of 23107080 in words is "twenty-three million, one hundred seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 47 51 60 68 85 94 102 120 136 141 170 188 204 235 241 255 282 340 376 408 470 482 510 564 680 705 723 799 940 964 1020 1128 1205 1410 1446 1598 1880 1928 2040 2397 2410 2820 2892 3196 3615 3995 4097 4794 4820 5640 5784 6392 7230 7990 8194 9588 9640 11327 11985 12291 14460 15980 16388 19176 20485 22654 23970 24582 28920 31960 32776 33981 40970 45308 47940 49164 56635 61455 67962 81940 90616 95880 98328 113270 122910 135924 163880 169905 192559 226540 245820 271848 339810 385118 453080 491640 577677 679620 770236 962795 1155354 1359240 1540472 1925590 2310708 2888385 3851180 4621416 5776770 7702360 11553540 23107080