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10077012 = 22321125447
BaseRepresentation
bin100110011100…
…001101010100
3200221222001200
4212130031110
510034431022
6555552500
7151440021
oct46341524
920858050
1010077012
115763010
12345b730
13211a93a
1414a4548
15d40bac
hex99c354

10077012 has 36 divisors (see below), whose sum is σ = 27789216. Its totient is φ = 3053520.

The previous prime is 10076951. The next prime is 10077031. The reversal of 10077012 is 21077001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 12328 + ... + 13119.

Almost surely, 210077012 is an apocalyptic number.

10077012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10077012 is an abundant number, since it is smaller than the sum of its proper divisors (17712204).

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

10077012 is a wasteful number, since it uses less digits than its factorization.

10077012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25468 (or 25463 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 10077012 is about 3174.4309726312. The cubic root of 10077012 is about 215.9951130582.

The spelling of 10077012 in words is "ten million, seventy-seven thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 25447 50894 76341 101788 152682 229023 279917 305364 458046 559834 839751 916092 1119668 1679502 2519253 3359004 5038506 10077012