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74739960 = 23325297159
BaseRepresentation
bin1000111010001…
…11000011111000
312012122011221200
410131013003320
5123113134320
611225534200
71565164521
oct435070370
9165564850
1074739960
1139209269
1221044360
131263b139
149cd7848
156865290
hex47470f8

74739960 has 96 divisors (see below), whose sum is σ = 251316000. Its totient is φ = 19240704.

The previous prime is 74739913. The next prime is 74739967. The reversal of 74739960 is 6993747.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74739967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6861 + ... + 14019.

It is an arithmetic number, because the mean of its divisors is an integer number (2617875).

Almost surely, 274739960 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 74739960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125658000).

74739960 is an abundant number, since it is smaller than the sum of its proper divisors (176576040).

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

74739960 is a wasteful number, since it uses less digits than its factorization.

74739960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7205 (or 7198 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 74739960 is about 8645.2275852056. The cubic root of 74739960 is about 421.2283766457.

The spelling of 74739960 in words is "seventy-four million, seven hundred thirty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 5220 7159 10440 14318 21477 28636 35795 42954 57272 64431 71590 85908 107385 128862 143180 171816 207611 214770 257724 286360 322155 415222 429540 515448 622833 644310 830444 859080 1038055 1245666 1288620 1660888 1868499 2076110 2491332 2577240 3114165 3736998 4152220 4982664 6228330 7473996 8304440 9342495 12456660 14947992 18684990 24913320 37369980 74739960