Search a number
-
+
135992430 = 23257732957
BaseRepresentation
bin10000001101100…
…01010001101110
3100110220010112200
420012301101232
5234303224210
621254442330
73240626250
oct1006612156
9313803480
10135992430
116a845142
12396633a6
13222361c2
14140bdcd0
15be140c0
hex81b146e

135992430 has 96 divisors (see below), whose sum is σ = 409765824. Its totient is φ = 30647808.

The previous prime is 135992419. The next prime is 135992447. The reversal of 135992430 is 34299531.

It is a happy number.

135992430 is a `hidden beast` number, since 13 + 599 + 24 + 30 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44512 + ... + 47468.

It is an arithmetic number, because the mean of its divisors is an integer number (4268394).

Almost surely, 2135992430 is an apocalyptic number.

135992430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135992430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204882912).

135992430 is an abundant number, since it is smaller than the sum of its proper divisors (273773394).

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

135992430 is a wasteful number, since it uses less digits than its factorization.

135992430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3050 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 135992430 is about 11661.5792241017. The cubic root of 135992430 is about 514.2467764832.

The spelling of 135992430 in words is "one hundred thirty-five million, nine hundred ninety-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 73 90 105 126 146 210 219 315 365 438 511 630 657 730 1022 1095 1314 1533 2190 2555 2957 3066 3285 4599 5110 5914 6570 7665 8871 9198 14785 15330 17742 20699 22995 26613 29570 41398 44355 45990 53226 62097 88710 103495 124194 133065 186291 206990 215861 266130 310485 372582 431722 620970 647583 931455 1079305 1295166 1511027 1862910 1942749 2158610 3022054 3237915 3885498 4533081 6475830 7555135 9066162 9713745 13599243 15110270 19427490 22665405 27198486 45330810 67996215 135992430