Search a number
-
+
135902976 = 2831116087
BaseRepresentation
bin10000001100110…
…11011100000000
3100110201120211120
420012123130000
5234242343401
621252512240
73240104406
oct1006333400
9313646746
10135902976
116a793a10
123961b680
1322204581
1414099476
15bde7836
hex819b700

135902976 has 72 divisors (see below), whose sum is σ = 394606464. Its totient is φ = 41180160.

The previous prime is 135902959. The next prime is 135902983. The reversal of 135902976 is 679209531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 405 + ... + 16491.

Almost surely, 2135902976 is an apocalyptic number.

135902976 is a gapful number since it is divisible by the number (16) 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 135902976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197303232).

135902976 is an abundant number, since it is smaller than the sum of its proper divisors (258703488).

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

135902976 is a wasteful number, since it uses less digits than its factorization.

135902976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16117 (or 16103 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 135902976 is about 11657.7431778196. The cubic root of 135902976 is about 514.1339968694.

The spelling of 135902976 in words is "one hundred thirty-five million, nine hundred two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 16087 32174 48261 64348 96522 128696 176957 193044 257392 353914 386088 514784 530871 707828 772176 1029568 1061742 1415656 1544352 2059136 2123484 2831312 3088704 4118272 4246968 5662624 6177408 8493936 11325248 12354816 16987872 22650496 33975744 45300992 67951488 135902976