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401020319 = 7379971553
BaseRepresentation
bin10111111001110…
…001010110011111
31000221120221110102
4113321301112133
51310130122234
6103443131315
712636421310
oct2771612637
91027527412
10401020319
11196402557
12b2373b3b
136510ab3b
143b38c607
1525315c7e
hex17e7159f

401020319 has 16 divisors (see below), whose sum is σ = 471471168. Its totient is φ = 333891072.

The previous prime is 401020307. The next prime is 401020331. The reversal of 401020319 is 913020104.

It is an interprime number because it is at equal distance from previous prime (401020307) and next prime (401020331).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-401020319 is a prime.

It is a super-2 number, since 2×4010203192 = 321634592501723522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401020319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401020349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257447 + ... + 258999.

It is an arithmetic number, because the mean of its divisors is an integer number (29466948).

Almost surely, 2401020319 is an apocalyptic number.

401020319 is a deficient number, since it is larger than the sum of its proper divisors (70450849).

401020319 is a wasteful number, since it uses less digits than its factorization.

401020319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 401020319 is about 20025.4917292934. The cubic root of 401020319 is about 737.4322490285.

The spelling of 401020319 in words is "four hundred one million, twenty thousand, three hundred nineteen".

Divisors: 1 7 37 259 997 1553 6979 10871 36889 57461 258223 402227 1548341 10838387 57288617 401020319