Search a number
-
+
123932040 = 23351779769
BaseRepresentation
bin1110110001100…
…00110110001000
322122012101210120
413120300312020
5223211311130
620144143240
73033255621
oct730606610
9278171716
10123932040
1163a57a81
1235607b20
131c8a288b
1412660a48
15ad30910
hex7630d88

123932040 has 128 divisors (see below), whose sum is σ = 399168000. Its totient is φ = 30670848.

The previous prime is 123932033. The next prime is 123932047. The reversal of 123932040 is 40239321.

It is an interprime number because it is at equal distance from previous prime (123932033) and next prime (123932047).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 123932040.

It is not an unprimeable number, because it can be changed into a prime (123932047) 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, 160776 + ... + 161544.

It is an arithmetic number, because the mean of its divisors is an integer number (3118500).

Almost surely, 2123932040 is an apocalyptic number.

123932040 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 123932040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199584000).

123932040 is an abundant number, since it is smaller than the sum of its proper divisors (275235960).

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

123932040 is a wasteful number, since it uses less digits than its factorization.

123932040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 123932040 is about 11132.4768133601. The cubic root of 123932040 is about 498.5719787266.

The spelling of 123932040 in words is "one hundred twenty-three million, nine hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 79 85 102 120 136 158 170 204 237 255 316 340 395 408 474 510 632 680 769 790 948 1020 1185 1343 1538 1580 1896 2040 2307 2370 2686 3076 3160 3845 4029 4614 4740 5372 6152 6715 7690 8058 9228 9480 10744 11535 13073 13430 15380 16116 18456 20145 23070 26146 26860 30760 32232 39219 40290 46140 52292 53720 60751 65365 78438 80580 92280 104584 121502 130730 156876 161160 182253 196095 243004 261460 303755 313752 364506 392190 486008 522920 607510 729012 784380 911265 1032767 1215020 1458024 1568760 1822530 2065534 2430040 3098301 3645060 4131068 5163835 6196602 7290120 8262136 10327670 12393204 15491505 20655340 24786408 30983010 41310680 61966020 123932040