Search a number
-
+
74707164 = 22337219743
BaseRepresentation
bin1000111001111…
…11000011011100
312012120111222000
410130333003130
5123111112124
611225122300
71565000100
oct434770334
9165514860
1074707164
1139196664
1221029390
131262922c
149cc9900
15685a6c9
hex473f0dc

74707164 has 144 divisors (see below), whose sum is σ = 237484800. Its totient is φ = 20194272.

The previous prime is 74707147. The next prime is 74707201. The reversal of 74707164 is 46170747.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100177 + ... + 100919.

It is an arithmetic number, because the mean of its divisors is an integer number (1649200).

Almost surely, 274707164 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 74707164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118742400).

74707164 is an abundant number, since it is smaller than the sum of its proper divisors (162777636).

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

74707164 is a wasteful number, since it uses less digits than its factorization.

74707164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 74707164 is about 8643.3306080469. The cubic root of 74707164 is about 421.1667557629.

The spelling of 74707164 in words is "seventy-four million, seven hundred seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 49 54 57 63 76 84 98 108 114 126 133 147 171 189 196 228 252 266 294 342 378 399 441 513 532 588 684 743 756 798 882 931 1026 1197 1323 1486 1596 1764 1862 2052 2229 2394 2646 2793 2972 3591 3724 4458 4788 5201 5292 5586 6687 7182 8379 8916 10402 11172 13374 14117 14364 15603 16758 20061 20804 25137 26748 28234 31206 33516 36407 40122 42351 46809 50274 56468 62412 72814 80244 84702 93618 98819 100548 109221 127053 140427 145628 169404 187236 197638 218442 254106 280854 296457 327663 381159 395276 436884 508212 561708 592914 655326 691733 762318 889371 982989 1185828 1310652 1383466 1524636 1778742 1965978 2075199 2668113 2766932 3557484 3931956 4150398 5336226 6225597 8300796 10672452 12451194 18676791 24902388 37353582 74707164