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134162432 = 211109601
BaseRepresentation
bin1111111111100…
…10100000000000
3100100110011020222
413333302200000
5233321144212
621151322212
73216235055
oct777624000
9310404228
10134162432
1169805248
1238b20368
1321a45271
1413b6502c
15bba1c72
hex7ff2800

134162432 has 48 divisors (see below), whose sum is σ = 271170900. Its totient is φ = 66355200.

The previous prime is 134162423. The next prime is 134162459. The reversal of 134162432 is 234261431.

It can be written as a sum of positive squares in 2 ways, for example, as 123298816 + 10863616 = 11104^2 + 3296^2 .

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 3 ways as a sum of consecutive naturals, for example, 222932 + ... + 223532.

Almost surely, 2134162432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134162432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135585450).

134162432 is an abundant number, since it is smaller than the sum of its proper divisors (137008468).

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

134162432 is an equidigital number, since it uses as much as digits as its factorization.

134162432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 712 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

The square root of 134162432 is about 11582.8507717228. The cubic root of 134162432 is about 511.9296778418.

The spelling of 134162432 in words is "one hundred thirty-four million, one hundred sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 109 128 218 256 436 512 601 872 1024 1202 1744 2048 2404 3488 4808 6976 9616 13952 19232 27904 38464 55808 65509 76928 111616 131018 153856 223232 262036 307712 524072 615424 1048144 1230848 2096288 4192576 8385152 16770304 33540608 67081216 134162432