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10526540340 = 2235175442339
BaseRepresentation
bin10011100110110111…
…00100001000110100
31000011121112122200110
421303123210020310
5133024243242330
64500312143020
7521600054661
oct116333441064
930147478613
1010526540340
114511a59618
122059397a70
13cb9b058c4
1471c066a68
15419219db0
hex2736e4234

10526540340 has 24 divisors (see below), whose sum is σ = 29474313120. Its totient is φ = 2807077408.

The previous prime is 10526540333. The next prime is 10526540371. The reversal of 10526540340 is 4304562501.

It is a super-3 number, since 3×105265403403 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 10526540298 and 10526540307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87721110 + ... + 87721229.

It is an arithmetic number, because the mean of its divisors is an integer number (1228096380).

Almost surely, 210526540340 is an apocalyptic number.

10526540340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10526540340 is an abundant number, since it is smaller than the sum of its proper divisors (18947772780).

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

10526540340 is a wasteful number, since it uses less digits than its factorization.

10526540340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175442351 (or 175442349 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 10526540340 in words is "ten billion, five hundred twenty-six million, five hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 175442339 350884678 526327017 701769356 877211695 1052654034 1754423390 2105308068 2631635085 3508846780 5263270170 10526540340