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135215928 = 233210318233
BaseRepresentation
bin10000000111100…
…11101100111000
3100102102200101100
420003303230320
5234103402203
621230051400
73231213351
oct1003635470
9312380340
10135215928
116a364801
1239349b60
1322023933
1413d5ad28
15bd0dea3
hex80f3b38

135215928 has 48 divisors (see below), whose sum is σ = 369785520. Its totient is φ = 44631936.

The previous prime is 135215903. The next prime is 135215933. The reversal of 135215928 is 829512531.

135215928 is a `hidden beast` number, since 13 + 52 + 1 + 592 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135215892 and 135215901.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1701 + ... + 16532.

It is an arithmetic number, because the mean of its divisors is an integer number (7703865).

Almost surely, 2135215928 is an apocalyptic number.

135215928 is a gapful number since it is divisible by the number (18) 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 135215928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184892760).

135215928 is an abundant number, since it is smaller than the sum of its proper divisors (234569592).

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

135215928 is a wasteful number, since it uses less digits than its factorization.

135215928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18348 (or 18341 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 135215928 is about 11628.2383876493. The cubic root of 135215928 is about 513.2661432645.

The spelling of 135215928 in words is "one hundred thirty-five million, two hundred fifteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 309 412 618 824 927 1236 1854 2472 3708 7416 18233 36466 54699 72932 109398 145864 164097 218796 328194 437592 656388 1312776 1877999 3755998 5633997 7511996 11267994 15023992 16901991 22535988 33803982 45071976 67607964 135215928