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10074760 = 235614129
BaseRepresentation
bin100110011011…
…101010001000
3200221211222021
4212123222020
510034343020
6555534224
7151430323
oct46335210
920854867
1010074760
115761353
12345a374
1321198c7
1414a37ba
15d401aa
hex99ba88

10074760 has 32 divisors (see below), whose sum is σ = 23045400. Its totient is φ = 3962880.

The previous prime is 10074751. The next prime is 10074763. The reversal of 10074760 is 6747001.

It can be written as a sum of positive squares in 4 ways, for example, as 5503716 + 4571044 = 2346^2 + 2138^2 .

It is not an unprimeable number, because it can be changed into a prime (10074763) 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 7 ways as a sum of consecutive naturals, for example, 376 + ... + 4504.

Almost surely, 210074760 is an apocalyptic number.

10074760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10074760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11522700).

10074760 is an abundant number, since it is smaller than the sum of its proper divisors (12970640).

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

10074760 is a wasteful number, since it uses less digits than its factorization.

10074760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4201 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 10074760 is about 3174.0762435707. The cubic root of 10074760 is about 215.9790217395.

The spelling of 10074760 in words is "ten million, seventy-four thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 4129 8258 16516 20645 33032 41290 82580 165160 251869 503738 1007476 1259345 2014952 2518690 5037380 10074760