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401390616 = 2331115110069
BaseRepresentation
bin10111111011001…
…011110000011000
31000222021202102010
4113323023300120
51310223444431
6103455105520
712642523014
oct2773136030
91028252363
10401390616
11196635790
12b25122a0
136520a553
143b447544
152538a846
hex17ecbc18

401390616 has 64 divisors (see below), whose sum is σ = 1102060800. Its totient is φ = 120816000.

The previous prime is 401390609. The next prime is 401390617. The reversal of 401390616 is 616093104.

It is a super-2 number, since 2×4013906162 = 322228853225718912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401390617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34830 + ... + 44898.

It is an arithmetic number, because the mean of its divisors is an integer number (17219700).

Almost surely, 2401390616 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 401390616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551030400).

401390616 is an abundant number, since it is smaller than the sum of its proper divisors (700670184).

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

401390616 is a wasteful number, since it uses less digits than its factorization.

401390616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10240 (or 10236 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 401390616 is about 20034.7352365835. The cubic root of 401390616 is about 737.6591576831.

The spelling of 401390616 in words is "four hundred one million, three hundred ninety thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 151 264 302 453 604 906 1208 1661 1812 3322 3624 4983 6644 9966 10069 13288 19932 20138 30207 39864 40276 60414 80552 110759 120828 221518 241656 332277 443036 664554 886072 1329108 1520419 2658216 3040838 4561257 6081676 9122514 12163352 16724609 18245028 33449218 36490056 50173827 66898436 100347654 133796872 200695308 401390616