Search a number
-
+
123043960 = 235131731449
BaseRepresentation
bin1110101010110…
…00000001111000
322120112021120201
413111120001320
5222444401320
620113131544
73022566514
oct725300170
9276467521
10123043960
1163500826
1235259bb4
131c6515a0
14124ad144
15ac0770a
hex7558078

123043960 has 128 divisors (see below), whose sum is σ = 326592000. Its totient is φ = 41287680.

The previous prime is 123043937. The next prime is 123043961. The reversal of 123043960 is 69340321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123043961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273816 + ... + 274264.

It is an arithmetic number, because the mean of its divisors is an integer number (2551500).

Almost surely, 2123043960 is an apocalyptic number.

123043960 is a gapful number since it is divisible by the number (10) 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 123043960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296000).

123043960 is an abundant number, since it is smaller than the sum of its proper divisors (203548040).

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

123043960 is a wasteful number, since it uses less digits than its factorization.

123043960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 123043960 is about 11092.5181992188. The cubic root of 123043960 is about 497.3782232687.

The spelling of 123043960 in words is "one hundred twenty-three million, forty-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 17 20 26 31 34 40 52 62 65 68 85 104 124 130 136 155 170 221 248 260 310 340 403 442 449 520 527 620 680 806 884 898 1054 1105 1240 1612 1768 1796 2015 2108 2210 2245 2635 3224 3592 4030 4216 4420 4490 5270 5837 6851 7633 8060 8840 8980 10540 11674 13702 13919 15266 16120 17960 21080 23348 27404 27838 29185 30532 34255 38165 46696 54808 55676 58370 61064 68510 69595 76330 99229 111352 116740 137020 139190 152660 180947 198458 233480 236623 274040 278380 305320 361894 396916 473246 496145 556760 723788 793832 904735 946492 992290 1183115 1447576 1809470 1892984 1984580 2366230 3076099 3618940 3969160 4732460 6152198 7237880 9464920 12304396 15380495 24608792 30760990 61521980 123043960