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401360790 = 23513378693
BaseRepresentation
bin10111111011000…
…100011110010110
31000222020020111110
4113323010132112
51310222021130
6103454315450
712642340035
oct2773043626
91028206443
10401360790
11196615336
12b24b8b86
13651c9abc
143b43a71c
1525381ab0
hex17ec4796

401360790 has 16 divisors (see below), whose sum is σ = 963265968. Its totient is φ = 107029536.

The previous prime is 401360779. The next prime is 401360831. The reversal of 401360790 is 97063104.

It is a happy number.

It is a super-2 number, since 2×4013607902 = 322180967498848200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 13378693 = 401360790 / (4 + 0 + 1 + 3 + 6 + 0 + 7 + 9 + 0).

It is a congruent number.

It is an unprimeable number.

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, 6689317 + ... + 6689376.

It is an arithmetic number, because the mean of its divisors is an integer number (60204123).

Almost surely, 2401360790 is an apocalyptic number.

401360790 is an abundant number, since it is smaller than the sum of its proper divisors (561905178).

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

401360790 is a wasteful number, since it uses less digits than its factorization.

401360790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13378703.

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 401360790 is about 20033.9908655265. The cubic root of 401360790 is about 737.6408862320.

The spelling of 401360790 in words is "four hundred one million, three hundred sixty thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 13378693 26757386 40136079 66893465 80272158 133786930 200680395 401360790