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74130760 = 23511331509
BaseRepresentation
bin1000110101100…
…10010101001000
312011111020021201
410122302111020
5122434141020
611204513544
71560046444
oct432622510
9164436251
1074130760
11389325a0
12209ab8b4
1312486a72
149bb9824
156794a0a
hex46b2548

74130760 has 64 divisors (see below), whose sum is σ = 182865600. Its totient is φ = 26822400.

The previous prime is 74130733. The next prime is 74130769. The reversal of 74130760 is 6703147.

It is not an unprimeable number, because it can be changed into a prime (74130769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145386 + ... + 145894.

It is an arithmetic number, because the mean of its divisors is an integer number (2857275).

Almost surely, 274130760 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 74130760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91432800).

74130760 is an abundant number, since it is smaller than the sum of its proper divisors (108734840).

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

74130760 is a wasteful number, since it uses less digits than its factorization.

74130760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 74130760 is about 8609.9221831559. The cubic root of 74130760 is about 420.0807856695.

The spelling of 74130760 in words is "seventy-four million, one hundred thirty thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 331 440 509 662 1018 1324 1655 2036 2545 2648 3310 3641 4072 5090 5599 6620 7282 10180 11198 13240 14564 18205 20360 22396 27995 29128 36410 44792 55990 72820 111980 145640 168479 223960 336958 673916 842395 1347832 1684790 1853269 3369580 3706538 6739160 7413076 9266345 14826152 18532690 37065380 74130760