Search a number
-
+
74560720 = 2451371693
BaseRepresentation
bin1000111000110…
…11010011010000
312012022002002011
410130123103100
5123041420340
611222032304
71563520123
oct434332320
9165262064
1074560720
11390a6633
1220b78694
13125a7690
149c8c3ba
15682c0ea
hex471b4d0

74560720 has 40 divisors (see below), whose sum is σ = 186691176. Its totient is φ = 27529728.

The previous prime is 74560697. The next prime is 74560747. The reversal of 74560720 is 2706547.

It can be written as a sum of positive squares in 4 ways, for example, as 118336 + 74442384 = 344^2 + 8628^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 34807 + ... + 36886.

Almost surely, 274560720 is an apocalyptic number.

It is an amenable number.

74560720 is an abundant number, since it is smaller than the sum of its proper divisors (112130456).

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

74560720 is a wasteful number, since it uses less digits than its factorization.

74560720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71719 (or 71713 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 74560720 is about 8634.8549495634. The cubic root of 74560720 is about 420.8913797220.

The spelling of 74560720 in words is "seventy-four million, five hundred sixty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 71693 143386 286772 358465 573544 716930 932009 1147088 1433860 1864018 2867720 3728036 4660045 5735440 7456072 9320090 14912144 18640180 37280360 74560720