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10077040 = 245125963
BaseRepresentation
bin100110011100…
…001101110000
3200221222002201
4212130031300
510034431130
6555552544
7151440061
oct46341560
920858081
1010077040
115763036
12345b754
13211a95c
1414a4568
15d40bca
hex99c370

10077040 has 20 divisors (see below), whose sum is σ = 23429304. Its totient is φ = 4030784.

The previous prime is 10077037. The next prime is 10077043. The reversal of 10077040 is 4077001.

It is an interprime number because it is at equal distance from previous prime (10077037) and next prime (10077043).

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 10076999 and 10077017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10077043) 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 3 ways as a sum of consecutive naturals, for example, 62902 + ... + 63061.

Almost surely, 210077040 is an apocalyptic number.

10077040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10077040 is an abundant number, since it is smaller than the sum of its proper divisors (13352264).

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

10077040 is a wasteful number, since it uses less digits than its factorization.

10077040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125976 (or 125970 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 19.

The square root of 10077040 is about 3174.4353828673. The cubic root of 10077040 is about 215.9953131128.

The spelling of 10077040 in words is "ten million, seventy-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 125963 251926 503852 629815 1007704 1259630 2015408 2519260 5038520 10077040