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390258101 = 3171917509
BaseRepresentation
bin10111010000101…
…101110110110101
31000012100011110202
4113100231312311
51244401224401
6102420330245
712446065502
oct2720556665
91005304422
10390258101
11190321762
12aa843985
1362b1036c
1439b8a4a9
15243dc06b
hex1742ddb5

390258101 has 8 divisors (see below), whose sum is σ = 403430400. Its totient is φ = 377122320.

The previous prime is 390258097. The next prime is 390258149. The reversal of 390258101 is 101852093.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 390258101 - 22 = 390258097 is a prime.

It is a super-3 number, since 3×3902581013 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390258161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13535 + ... + 31043.

It is an arithmetic number, because the mean of its divisors is an integer number (50428800).

Almost surely, 2390258101 is an apocalyptic number.

390258101 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

390258101 is a deficient number, since it is larger than the sum of its proper divisors (13172299).

390258101 is a wasteful number, since it uses less digits than its factorization.

390258101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18259.

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 390258101 is about 19754.9513034075. The cubic root of 390258101 is about 730.7754947675.

The spelling of 390258101 in words is "three hundred ninety million, two hundred fifty-eight thousand, one hundred one".

Divisors: 1 31 719 17509 22289 542779 12588971 390258101