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135530472 = 233721110477
BaseRepresentation
bin10000001010000…
…00011111101000
3100110000122212010
420011000133220
5234143433342
621240515520
73233663400
oct1005003750
9313018763
10135530472
116a55a060
123947bba0
1322103b5c
1413ddd800
15bd7229c
hex81407e8

135530472 has 96 divisors (see below), whose sum is σ = 430017120. Its totient is φ = 35199360.

The previous prime is 135530441. The next prime is 135530489. The reversal of 135530472 is 274035531.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7698 + ... + 18174.

It is an arithmetic number, because the mean of its divisors is an integer number (4479345).

Almost surely, 2135530472 is an apocalyptic number.

135530472 is a gapful number since it is divisible by the number (12) 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 135530472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215008560).

135530472 is an abundant number, since it is smaller than the sum of its proper divisors (294486648).

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

135530472 is a wasteful number, since it uses less digits than its factorization.

135530472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10511 (or 10500 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 135530472 is about 11641.7555377185. The cubic root of 135530472 is about 513.6638275796.

The spelling of 135530472 in words is "one hundred thirty-five million, five hundred thirty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 392 462 539 588 616 924 1078 1176 1617 1848 2156 3234 4312 6468 10477 12936 20954 31431 41908 62862 73339 83816 115247 125724 146678 220017 230494 251448 293356 345741 440034 460988 513373 586712 691482 806729 880068 921976 1026746 1382964 1540119 1613458 1760136 2053492 2420187 2765928 3080238 3226916 4106984 4840374 5647103 6160476 6453832 9680748 11294206 12320952 16941309 19361496 22588412 33882618 45176824 67765236 135530472