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10132720 = 245139743
BaseRepresentation
bin100110101001…
…110011110000
3201001210110221
4212221303300
510043221340
61001102424
7152061313
oct46516360
921053427
1010132720
1157a0954
123487a14
13213a0c0
1414ba97a
15d5244a
hex9a9cf0

10132720 has 40 divisors (see below), whose sum is σ = 25373376. Its totient is φ = 3740928.

The previous prime is 10132711. The next prime is 10132721. The reversal of 10132720 is 2723101.

It is a happy number.

10132720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 10132694 and 10132703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3832 + ... + 5911.

Almost surely, 210132720 is an apocalyptic number.

10132720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132720 is an abundant number, since it is smaller than the sum of its proper divisors (15240656).

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

10132720 is a wasteful number, since it uses less digits than its factorization.

10132720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9769 (or 9763 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 10132720 is about 3183.1933651602. The cubic root of 10132720 is about 216.3924051168.

Adding to 10132720 its reverse (2723101), we get a palindrome (12855821).

The spelling of 10132720 in words is "ten million, one hundred thirty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 9743 19486 38972 48715 77944 97430 126659 155888 194860 253318 389720 506636 633295 779440 1013272 1266590 2026544 2533180 5066360 10132720