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10067040 = 253256991
BaseRepresentation
bin100110011001…
…110001100000
3200221110101100
4212121301200
510034121130
6555434400
7151365654
oct46316140
920843340
1010067040
115756575
123455a00
132116239
1414a0a64
15d3cc60
hex999c60

10067040 has 72 divisors (see below), whose sum is σ = 34358688. Its totient is φ = 2684160.

The previous prime is 10067027. The next prime is 10067041. The reversal of 10067040 is 4076001.

10067040 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10067041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2056 + ... + 4935.

It is an arithmetic number, because the mean of its divisors is an integer number (477204).

Almost surely, 210067040 is an apocalyptic number.

10067040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10067040 is an abundant number, since it is smaller than the sum of its proper divisors (24291648).

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

10067040 is a wasteful number, since it uses less digits than its factorization.

10067040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7012 (or 7001 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10067040 is about 3172.8599086628. The cubic root of 10067040 is about 215.9238414635.

The spelling of 10067040 in words is "ten million, sixty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 6991 13982 20973 27964 34955 41946 55928 62919 69910 83892 104865 111856 125838 139820 167784 209730 223712 251676 279640 314595 335568 419460 503352 559280 629190 671136 838920 1006704 1118560 1258380 1677840 2013408 2516760 3355680 5033520 10067040