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10531640 = 2357291297
BaseRepresentation
bin101000001011…
…001100111000
3201211001200202
4220023030320
510144003030
61013421332
7155342330
oct50131470
921731622
1010531640
115a43639
12363a848
132249852
1415820c0
15dd0745
hexa0b338

10531640 has 64 divisors (see below), whose sum is σ = 28036800. Its totient is φ = 3483648.

The previous prime is 10531639. The next prime is 10531649. The reversal of 10531640 is 4613501.

It is a super-2 number, since 2×105316402 = 221830882179200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10531649) 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, 7472 + ... + 8768.

It is an arithmetic number, because the mean of its divisors is an integer number (438075).

Almost surely, 210531640 is an apocalyptic number.

10531640 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 10531640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14018400).

10531640 is an abundant number, since it is smaller than the sum of its proper divisors (17505160).

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

10531640 is a wasteful number, since it uses less digits than its factorization.

10531640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 10531640 is about 3245.2488348353. The cubic root of 10531640 is about 219.1956856202.

The spelling of 10531640 in words is "ten million, five hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 1015 1160 1297 1624 2030 2594 4060 5188 6485 8120 9079 10376 12970 18158 25940 36316 37613 45395 51880 72632 75226 90790 150452 181580 188065 263291 300904 363160 376130 526582 752260 1053164 1316455 1504520 2106328 2632910 5265820 10531640