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136420824 = 23314938149
BaseRepresentation
bin10000010000110…
…01110111011000
3100111200220012010
420020121313120
5234410431244
621311545520
73244362231
oct1010316730
9314626163
10136420824
1170007a91
123982b2a0
13223561a7
1414192088
15be9aeb9
hex8219dd8

136420824 has 32 divisors (see below), whose sum is σ = 343350000. Its totient is φ = 45167232.

The previous prime is 136420807. The next prime is 136420831. The reversal of 136420824 is 428024631.

It is a super-2 number, since 2×1364208242 = 37221282441677952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 136420791 and 136420800.

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, 15499 + ... + 22650.

Almost surely, 2136420824 is an apocalyptic number.

It is an amenable number.

136420824 is an abundant number, since it is smaller than the sum of its proper divisors (206929176).

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

136420824 is a wasteful number, since it uses less digits than its factorization.

136420824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38307 (or 38303 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 136420824 is about 11679.9325340517. The cubic root of 136420824 is about 514.7861920783.

The spelling of 136420824 in words is "one hundred thirty-six million, four hundred twenty thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 149 298 447 596 894 1192 1788 3576 38149 76298 114447 152596 228894 305192 457788 915576 5684201 11368402 17052603 22736804 34105206 45473608 68210412 136420824