Search a number
-
+
74555680 = 255716563
BaseRepresentation
bin1000111000110…
…10000100100000
312012021211011111
410130122010200
5123041240210
611221553104
71563466333
oct434320440
9165254144
1074555680
11390a2871
1220b75794
13125a52b4
149c8a61a
15682a88a
hex471a120

74555680 has 48 divisors (see below), whose sum is σ = 178645824. Its totient is φ = 29397760.

The previous prime is 74555669. The next prime is 74555699. The reversal of 74555680 is 8655547.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8079 + ... + 14641.

It is an arithmetic number, because the mean of its divisors is an integer number (3721788).

Almost surely, 274555680 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 74555680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89322912).

74555680 is an abundant number, since it is smaller than the sum of its proper divisors (104090144).

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

74555680 is a wasteful number, since it uses less digits than its factorization.

74555680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6649 (or 6641 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 40.

The square root of 74555680 is about 8634.5631041761. The cubic root of 74555680 is about 420.8818959959.

The spelling of 74555680 in words is "seventy-four million, five hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 568 710 1136 1420 2272 2840 5680 6563 11360 13126 26252 32815 52504 65630 105008 131260 210016 262520 465973 525040 931946 1050080 1863892 2329865 3727784 4659730 7455568 9319460 14911136 18638920 37277840 74555680