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10012740 = 22351091531
BaseRepresentation
bin100110001100…
…100001000100
3200211200220020
4212030201010
510030401430
6554335140
7151051443
oct46144104
920750806
1010012740
1157197a1
12342a4b0
1320c75ca
141488d5a
15d2bb10
hex98c844

10012740 has 48 divisors (see below), whose sum is σ = 28311360. Its totient is φ = 2643840.

The previous prime is 10012727. The next prime is 10012741. The reversal of 10012740 is 4721001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5775 + ... + 7305.

It is an arithmetic number, because the mean of its divisors is an integer number (589820).

Almost surely, 210012740 is an apocalyptic number.

10012740 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 10012740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14155680).

10012740 is an abundant number, since it is smaller than the sum of its proper divisors (18298620).

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

10012740 is a wasteful number, since it uses less digits than its factorization.

10012740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 10012740 is about 3164.2913898691. The cubic root of 10012740 is about 215.5349218370.

Adding to 10012740 its reverse (4721001), we get a palindrome (14733741).

It can be divided in two parts, 1001 and 2740, that added together give a triangular number (3741 = T86).

The spelling of 10012740 in words is "ten million, twelve thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 545 654 1090 1308 1531 1635 2180 3062 3270 4593 6124 6540 7655 9186 15310 18372 22965 30620 45930 91860 166879 333758 500637 667516 834395 1001274 1668790 2002548 2503185 3337580 5006370 10012740