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10534640 = 245373559
BaseRepresentation
bin101000001011…
…111011110000
3201211012210212
4220023323300
510144102030
61013443252
7155354144
oct50137360
921735725
1010534640
115a45916
123640528
13224b01c
141583224
15dd1595
hexa0bef0

10534640 has 40 divisors (see below), whose sum is σ = 25162080. Its totient is φ = 4098816.

The previous prime is 10534631. The next prime is 10534649. The reversal of 10534640 is 4643501.

It is a happy number.

10534640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10534631) and next prime (10534649).

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

It is a super-2 number, since 2×105346402 = 221957279859200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10534649) 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, 1181 + ... + 4739.

It is an arithmetic number, because the mean of its divisors is an integer number (629052).

Almost surely, 210534640 is an apocalyptic number.

10534640 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 10534640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12581040).

10534640 is an abundant number, since it is smaller than the sum of its proper divisors (14627440).

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

10534640 is a wasteful number, since it uses less digits than its factorization.

10534640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 10534640 is about 3245.7110160949. The cubic root of 10534640 is about 219.2164967072.

The spelling of 10534640 in words is "ten million, five hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 3559 7118 14236 17795 28472 35590 56944 71180 131683 142360 263366 284720 526732 658415 1053464 1316830 2106928 2633660 5267320 10534640