Search a number
-
+
123201960 = 23357146669
BaseRepresentation
bin1110101011111…
…10100110101000
322120211022022120
413111332212220
5223014430320
620120351240
73024125250
oct725764650
9276738276
10123201960
11635a9502
1235315520
131c6a848b
1412510960
15ac39440
hex757e9a8

123201960 has 64 divisors (see below), whose sum is σ = 422409600. Its totient is φ = 28160256.

The previous prime is 123201959. The next prime is 123201973. The reversal of 123201960 is 69102321.

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 123201960.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72495 + ... + 74174.

It is an arithmetic number, because the mean of its divisors is an integer number (6600150).

Almost surely, 2123201960 is an apocalyptic number.

123201960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123201960 is an abundant number, since it is smaller than the sum of its proper divisors (299207640).

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

123201960 is a wasteful number, since it uses less digits than its factorization.

123201960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146690 (or 146686 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 123201960 is about 11099.6378319295. The cubic root of 123201960 is about 497.5910256581.

The spelling of 123201960 in words is "one hundred twenty-three million, two hundred one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 146669 293338 440007 586676 733345 880014 1026683 1173352 1466690 1760028 2053366 2200035 2933380 3080049 3520056 4106732 4400070 5133415 5866760 6160098 8213464 8800140 10266830 12320196 15400245 17600280 20533660 24640392 30800490 41067320 61600980 123201960