Search a number
-
+
1006117696 = 2641383429
BaseRepresentation
bin111011111110000…
…010001101000000
32121010012002000101
4323332002031000
54030031231241
6243500332144
733634600513
oct7376021500
92533162011
101006117696
11476a22131
12240b44054
1313059c91c
14978a0d7a
155d4dde31
hex3bf82340

1006117696 has 28 divisors (see below), whose sum is σ = 2045215620. Its totient is φ = 490787840.

The previous prime is 1006117667. The next prime is 1006117703. The reversal of 1006117696 is 6967116001.

It can be written as a sum of positive squares in 2 ways, for example, as 377913600 + 628204096 = 19440^2 + 25064^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 189091 + ... + 194338.

It is an arithmetic number, because the mean of its divisors is an integer number (73043415).

Almost surely, 21006117696 is an apocalyptic number.

1006117696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1006117696 is an abundant number, since it is smaller than the sum of its proper divisors (1039097924).

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

1006117696 is an equidigital number, since it uses as much as digits as its factorization.

1006117696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383482 (or 383472 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 1006117696 is about 31719.3583793872. The cubic root of 1006117696 is about 1002.0350876089.

The spelling of 1006117696 in words is "one billion, six million, one hundred seventeen thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2624 383429 766858 1533716 3067432 6134864 12269728 15720589 24539456 31441178 62882356 125764712 251529424 503058848 1006117696