Search a number
-
+
74116460 = 225112911617
BaseRepresentation
bin1000110101011…
…10110101101100
312011110111200002
410122232311230
5122433211320
611204323432
71556656655
oct432566554
9164414602
1074116460
1138922880
12209a3578
13124803c2
149bb452c
156790675
hex46aed6c

74116460 has 48 divisors (see below), whose sum is σ = 175664160. Its totient is φ = 26019840.

The previous prime is 74116453. The next prime is 74116499. The reversal of 74116460 is 6461147.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 572 + ... + 12188.

It is an arithmetic number, because the mean of its divisors is an integer number (3659670).

Almost surely, 274116460 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 74116460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87832080).

74116460 is an abundant number, since it is smaller than the sum of its proper divisors (101547700).

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

74116460 is a wasteful number, since it uses less digits than its factorization.

74116460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11666 (or 11664 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 74116460 is about 8609.0917058654. The cubic root of 74116460 is about 420.0537724047.

The spelling of 74116460 in words is "seventy-four million, one hundred sixteen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 6380 11617 23234 46468 58085 116170 127787 232340 255574 336893 511148 638935 673786 1277870 1347572 1684465 2555740 3368930 3705823 6737860 7411646 14823292 18529115 37058230 74116460