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135479240 = 23513437383
BaseRepresentation
bin10000001001100…
…11111111001000
3100102221001120122
420010303333020
5234140313430
621235442412
73233361131
oct1004637710
9312831518
10135479240
116a524616
1239456408
13220b6740
1413dc8c88
15bd61ee5
hex8133fc8

135479240 has 128 divisors (see below), whose sum is σ = 344615040. Its totient is φ = 47609856.

The previous prime is 135479219. The next prime is 135479249. The reversal of 135479240 is 42974531.

135479240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 135479240.

It is not an unprimeable number, because it can be changed into a prime (135479249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1632239 + ... + 1632321.

It is an arithmetic number, because the mean of its divisors is an integer number (2692305).

Almost surely, 2135479240 is an apocalyptic number.

135479240 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 135479240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172307520).

135479240 is an abundant number, since it is smaller than the sum of its proper divisors (209135800).

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

135479240 is a wasteful number, since it uses less digits than its factorization.

135479240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 135479240 is about 11639.5549743107. The cubic root of 135479240 is about 513.5990959085.

The spelling of 135479240 in words is "one hundred thirty-five million, four hundred seventy-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 73 83 86 104 130 146 166 172 215 260 292 332 344 365 415 430 520 559 584 664 730 830 860 949 1079 1118 1460 1660 1720 1898 2158 2236 2795 2920 3139 3320 3569 3796 4316 4472 4745 5395 5590 6059 6278 7138 7592 8632 9490 10790 11180 12118 12556 14276 15695 17845 18980 21580 22360 24236 25112 28552 30295 31390 35690 37960 40807 43160 46397 48472 60590 62780 71380 78767 81614 92794 121180 125560 142760 157534 163228 185588 204035 231985 242360 260537 315068 326456 371176 393835 408070 463970 521074 630136 787670 816140 927940 1042148 1302685 1575340 1632280 1855880 2084296 2605370 3150680 3386981 5210740 6773962 10421480 13547924 16934905 27095848 33869810 67739620 135479240