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135536740 = 22542116097
BaseRepresentation
bin10000001010000…
…10000001100100
3100110000222110021
420011002001210
5234144133430
621241004524
73234020563
oct1005020144
9313028407
10135536740
116a563839
1239483744
1322106971
1414001bda
15bd7407a
hex8142064

135536740 has 24 divisors (see below), whose sum is σ = 285320952. Its totient is φ = 54082560.

The previous prime is 135536719. The next prime is 135536761. The reversal of 135536740 is 47635531.

It is an interprime number because it is at equal distance from previous prime (135536719) and next prime (135536761).

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 135536164 = 24^2 + 11642^2 .

It is a junction number, because it is equal to n+sod(n) for n = 135536696 and 135536705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 372 + ... + 16468.

It is an arithmetic number, because the mean of its divisors is an integer number (11888373).

Almost surely, 2135536740 is an apocalyptic number.

135536740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135536740 is an abundant number, since it is smaller than the sum of its proper divisors (149784212).

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

135536740 is a wasteful number, since it uses less digits than its factorization.

135536740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16527 (or 16525 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

The square root of 135536740 is about 11642.0247379912. The cubic root of 135536740 is about 513.6717460823.

The spelling of 135536740 in words is "one hundred thirty-five million, five hundred thirty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 421 842 1684 2105 4210 8420 16097 32194 64388 80485 160970 321940 6776837 13553674 27107348 33884185 67768370 135536740