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135350952 = 233112322291
BaseRepresentation
bin10000001000101…
…00101010101000
3100102200112121020
420010110222220
5234122212302
621233012440
73232315122
oct1004245250
9312615536
10135350952
116a4471a0
12393b4120
1322070229
1413d94212
15bd38ebc
hex8114aa8

135350952 has 64 divisors (see below), whose sum is σ = 385205760. Its totient is φ = 39230400.

The previous prime is 135350947. The next prime is 135350953. The reversal of 135350952 is 259053531.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (135350953) 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, 5074 + ... + 17217.

It is an arithmetic number, because the mean of its divisors is an integer number (6018840).

Almost surely, 2135350952 is an apocalyptic number.

135350952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135350952 is an abundant number, since it is smaller than the sum of its proper divisors (249854808).

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

135350952 is a wasteful number, since it uses less digits than its factorization.

135350952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22334 (or 22330 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 33.

The square root of 135350952 is about 11634.0428054911. The cubic root of 135350952 is about 513.4369322962.

The spelling of 135350952 in words is "one hundred thirty-five million, three hundred fifty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 6072 22291 44582 66873 89164 133746 178328 245201 267492 490402 512693 534984 735603 980804 1025386 1471206 1538079 1961608 2050772 2942412 3076158 4101544 5639623 5884824 6152316 11279246 12304632 16918869 22558492 33837738 45116984 67675476 135350952