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74930080 = 2554310891
BaseRepresentation
bin1000111011101…
…01011110100000
312012222211202011
410131311132200
5123140230310
611234002304
71566616021
oct435653640
9165884664
1074930080
1139329095
1221116394
13126a6834
149d46c48
1568a178a
hex47757a0

74930080 has 48 divisors (see below), whose sum is σ = 181155744. Its totient is φ = 29272320.

The previous prime is 74930071. The next prime is 74930111. The reversal of 74930080 is 8003947.

It is a happy number.

It is a super-2 number, since 2×749300802 = 11229033777612800, which contains 22 as substring.

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, 1435 + ... + 12325.

It is an arithmetic number, because the mean of its divisors is an integer number (3774078).

Almost surely, 274930080 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 74930080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90577872).

74930080 is an abundant number, since it is smaller than the sum of its proper divisors (106225664).

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

74930080 is a wasteful number, since it uses less digits than its factorization.

74930080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10949 (or 10941 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 74930080 is about 8656.2162634722. The cubic root of 74930080 is about 421.5852412118.

The spelling of 74930080 in words is "seventy-four million, nine hundred thirty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 688 860 1376 1720 3440 6880 10891 21782 43564 54455 87128 108910 174256 217820 348512 435640 468313 871280 936626 1742560 1873252 2341565 3746504 4683130 7493008 9366260 14986016 18732520 37465040 74930080