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136532240 = 24513532477
BaseRepresentation
bin10000010001101…
…01000100010000
3100111220120000122
420020311010100
5234423012430
621314205412
73245335115
oct1010650420
9314816018
10136532240
1170083769
1239883868
1322394b10
14141c090c
15bebdee5
hex8235110

136532240 has 80 divisors (see below), whose sum is σ = 348446448. Its totient is φ = 49440768.

The previous prime is 136532191. The next prime is 136532251. The reversal of 136532240 is 42235631.

It can be written as a sum of positive squares in 8 ways, for example, as 3083536 + 133448704 = 1756^2 + 11552^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53882 + ... + 56358.

Almost surely, 2136532240 is an apocalyptic number.

136532240 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 136532240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174223224).

136532240 is an abundant number, since it is smaller than the sum of its proper divisors (211914208).

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

136532240 is a wasteful number, since it uses less digits than its factorization.

136532240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 136532240 is about 11684.7011087148. The cubic root of 136532240 is about 514.9262973046.

Adding to 136532240 its reverse (42235631), we get a palindrome (178767871).

The spelling of 136532240 in words is "one hundred thirty-six million, five hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 53 65 80 104 106 130 208 212 260 265 424 520 530 689 848 1040 1060 1378 2120 2477 2756 3445 4240 4954 5512 6890 9908 11024 12385 13780 19816 24770 27560 32201 39632 49540 55120 64402 99080 128804 131281 161005 198160 257608 262562 322010 515216 525124 644020 656405 1050248 1288040 1312810 1706653 2100496 2576080 2625620 3413306 5251240 6826612 8533265 10502480 13653224 17066530 27306448 34133060 68266120 136532240