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74540880 = 24325103529
BaseRepresentation
bin1000111000101…
…10011101010000
312012021001212100
410130112131100
5123040302010
611221400400
71563405231
oct434263520
9165231770
1074540880
1139092737
1220b69100
131259b63b
149c85088
1568262c0
hex4716750

74540880 has 60 divisors (see below), whose sum is σ = 250335540. Its totient is φ = 19877376.

The previous prime is 74540867. The next prime is 74540881. The reversal of 74540880 is 8804547.

It can be written as a sum of positive squares in 2 ways, for example, as 12194064 + 62346816 = 3492^2 + 7896^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74540881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51045 + ... + 52484.

It is an arithmetic number, because the mean of its divisors is an integer number (4172259).

Almost surely, 274540880 is an apocalyptic number.

It is an amenable number.

74540880 is an abundant number, since it is smaller than the sum of its proper divisors (175794660).

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

74540880 is a wasteful number, since it uses less digits than its factorization.

74540880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103548 (or 103539 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 74540880 is about 8633.7060408610. The cubic root of 74540880 is about 420.8540444882.

The spelling of 74540880 in words is "seventy-four million, five hundred forty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 103529 207058 310587 414116 517645 621174 828232 931761 1035290 1242348 1552935 1656464 1863522 2070580 2484696 3105870 3727044 4141160 4658805 4969392 6211740 7454088 8282320 9317610 12423480 14908176 18635220 24846960 37270440 74540880