Base | Representation |
---|---|
bin | 1000110101101… |
… | …11100000000000 |
3 | 12011112022100000 |
4 | 10122313200000 |
5 | 122440330221 |
6 | 11205200000 |
7 | 1560165255 |
oct | 432674000 |
9 | 164468300 |
10 | 74151936 |
11 | 389474a1 |
12 | 20a00000 |
13 | 124935b1 |
14 | 9bc342c |
15 | 679ae26 |
hex | 46b7800 |
74151936 has 144 divisors (see below), whose sum is σ = 223587000. Its totient is φ = 24551424.
The previous prime is 74151923. The next prime is 74151949. The reversal of 74151936 is 63915147.
It is an interprime number because it is at equal distance from previous prime (74151923) and next prime (74151949).
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×741519362 = 10997019225096192, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 74151936.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497590 + ... + 497738.
Almost surely, 274151936 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 74151936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111793500).
74151936 is an abundant number, since it is smaller than the sum of its proper divisors (149435064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
74151936 is an equidigital number, since it uses as much as digits as its factorization.
74151936 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 186 (or 154 counting only the distinct ones).
The product of its digits is 22680, while the sum is 36.
The square root of 74151936 is about 8611.1518393302. The cubic root of 74151936 is about 420.1207815894.
The spelling of 74151936 in words is "seventy-four million, one hundred fifty-one thousand, nine hundred thirty-six".
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