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135305532 = 22332943201
BaseRepresentation
bin10000001000010…
…01100100111100
3100102121020022000
420010021210330
5234114234112
621232022300
73232035525
oct1004114474
9312536260
10135305532
116a41605a
1239391990
132205565b
1413d8184c
15bd2a7dc
hex810993c

135305532 has 48 divisors (see below), whose sum is σ = 362896800. Its totient is φ = 43545600.

The previous prime is 135305509. The next prime is 135305539. The reversal of 135305532 is 235503531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 135305496 and 135305505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135305539) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18469 + ... + 24732.

It is an arithmetic number, because the mean of its divisors is an integer number (7560350).

Almost surely, 2135305532 is an apocalyptic number.

135305532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135305532 is an abundant number, since it is smaller than the sum of its proper divisors (227591268).

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

135305532 is a wasteful number, since it uses less digits than its factorization.

135305532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43243 (or 43235 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 135305532 is about 11632.0906117516. The cubic root of 135305532 is about 513.3794941717.

The spelling of 135305532 in words is "one hundred thirty-five million, three hundred five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 43201 86402 129603 172804 259206 388809 518412 777618 1166427 1252829 1555236 2332854 2505658 3758487 4665708 5011316 7516974 11275461 15033948 22550922 33826383 45101844 67652766 135305532