Search a number
-
+
74130920 = 23531191313
BaseRepresentation
bin1000110101100…
…10010111101000
312011111020111122
410122302113220
5122434142140
611204514412
71560050063
oct432622750
9164436448
1074130920
1138932726
12209aba08
1312486b66
149bb98da
156794ab5
hex46b25e8

74130920 has 64 divisors (see below), whose sum is σ = 173629440. Its totient is φ = 28454400.

The previous prime is 74130919. The next prime is 74130929. The reversal of 74130920 is 2903147.

It is a self number, because there is not a number n which added to its sum of digits gives 74130920.

It is not an unprimeable number, because it can be changed into a prime (74130929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236684 + ... + 236996.

It is an arithmetic number, because the mean of its divisors is an integer number (2712960).

Almost surely, 274130920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74130920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86814720).

74130920 is an abundant number, since it is smaller than the sum of its proper divisors (99498520).

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

74130920 is a wasteful number, since it uses less digits than its factorization.

74130920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 74130920 is about 8609.9314747563. The cubic root of 74130920 is about 420.0810878962.

The spelling of 74130920 in words is "seventy-four million, one hundred thirty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 191 248 310 313 382 620 626 764 955 1240 1252 1528 1565 1910 2504 3130 3820 5921 6260 7640 9703 11842 12520 19406 23684 29605 38812 47368 48515 59210 59783 77624 97030 118420 119566 194060 236840 239132 298915 388120 478264 597830 1195660 1853273 2391320 3706546 7413092 9266365 14826184 18532730 37065460 74130920