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74494160 = 2451383863
BaseRepresentation
bin1000111000010…
…11000011010000
312012011200202222
410130023003100
5123032303120
611220400212
71563122066
oct434130320
9165150688
1074494160
1139060624
1220b46068
13125832b0
149c72036
156817525
hex470b0d0

74494160 has 80 divisors (see below), whose sum is σ = 188987904. Its totient is φ = 27142656.

The previous prime is 74494139. The next prime is 74494163. The reversal of 74494160 is 6149447.

It is a Cunningham number, because it is equal to 86312-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 74494160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74494163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85889 + ... + 86751.

Almost surely, 274494160 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 74494160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94493952).

74494160 is an abundant number, since it is smaller than the sum of its proper divisors (114493744).

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

74494160 is a wasteful number, since it uses less digits than its factorization.

74494160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 74494160 is about 8630.9999420693. Note that the first 4 decimals coincide. The cubic root of 74494160 is about 420.7660998583.

The spelling of 74494160 in words is "seventy-four million, four hundred ninety-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 83 104 130 166 208 260 332 415 520 664 830 863 1040 1079 1328 1660 1726 2158 3320 3452 4315 4316 5395 6640 6904 8630 8632 10790 11219 13808 17260 17264 21580 22438 34520 43160 44876 56095 69040 71629 86320 89752 112190 143258 179504 224380 286516 358145 448760 573032 716290 897520 931177 1146064 1432580 1862354 2865160 3724708 4655885 5730320 7449416 9311770 14898832 18623540 37247080 74494160