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10069680 = 243541957
BaseRepresentation
bin100110011010…
…011010110000
3200221121000010
4212122122300
510034212210
6555454520
7151406445
oct46323260
920847003
1010069680
115758555
123457440
1321174ba
1414a19cc
15d3d920
hex99a6b0

10069680 has 40 divisors (see below), whose sum is σ = 31216752. Its totient is φ = 2685184.

The previous prime is 10069679. The next prime is 10069681. The reversal of 10069680 is 8696001.

It is an interprime number because it is at equal distance from previous prime (10069679) and next prime (10069681).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10069681) 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, 20739 + ... + 21218.

Almost surely, 210069680 is an apocalyptic number.

10069680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10069680 is an abundant number, since it is smaller than the sum of its proper divisors (21147072).

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

10069680 is a wasteful number, since it uses less digits than its factorization.

10069680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41973 (or 41967 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 10069680 is about 3173.2759098446. The cubic root of 10069680 is about 215.9427145755.

The spelling of 10069680 in words is "ten million, sixty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 41957 83914 125871 167828 209785 251742 335656 419570 503484 629355 671312 839140 1006968 1258710 1678280 2013936 2517420 3356560 5034840 10069680