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136264440 = 233513113773
BaseRepresentation
bin10000001111100…
…11101011111000
3100111101221200010
420013303223320
5234340430230
621304341520
73243141264
oct1007635370
9314357603
10136264440
116aa10544
12397748a0
13222ccc60
14141510a4
15be699b0
hex81f3af8

136264440 has 128 divisors (see below), whose sum is σ = 444709440. Its totient is φ = 33202176.

The previous prime is 136264411. The next prime is 136264459. The reversal of 136264440 is 44462631.

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 = 136264398 and 136264407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175894 + ... + 176666.

Almost surely, 2136264440 is an apocalyptic number.

136264440 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 136264440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222354720).

136264440 is an abundant number, since it is smaller than the sum of its proper divisors (308445000).

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

136264440 is a wasteful number, since it uses less digits than its factorization.

136264440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 136264440 is about 11673.2360551820. The cubic root of 136264440 is about 514.5894110133.

The spelling of 136264440 in words is "one hundred thirty-six million, two hundred sixty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 113 120 130 156 195 226 260 312 339 390 452 520 565 678 773 780 904 1130 1356 1469 1546 1560 1695 2260 2319 2712 2938 3092 3390 3865 4407 4520 4638 5876 6184 6780 7345 7730 8814 9276 10049 11595 11752 13560 14690 15460 17628 18552 20098 22035 23190 29380 30147 30920 35256 40196 44070 46380 50245 58760 60294 80392 87349 88140 92760 100490 120588 150735 174698 176280 200980 241176 262047 301470 349396 401960 436745 524094 602940 698792 873490 1048188 1135537 1205880 1310235 1746980 2096376 2271074 2620470 3406611 3493960 4542148 5240940 5677685 6813222 9084296 10481880 11355370 13626444 17033055 22710740 27252888 34066110 45421480 68132220 136264440