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401120256 = 2103373529
BaseRepresentation
bin10111111010001…
…001110000000000
31000221210000112210
4113322021300000
51310141322011
6103445222120
712640315545
oct2772116000
91027700483
10401120256
11196470649
12b2401940
1365144484
143b3b6bcc
15253356a6
hex17e89c00

401120256 has 88 divisors (see below), whose sum is σ = 1098338320. Its totient is φ = 130056192.

The previous prime is 401120243. The next prime is 401120263. The reversal of 401120256 is 652021104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111900 + ... + 115428.

Almost surely, 2401120256 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 401120256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549169160).

401120256 is an abundant number, since it is smaller than the sum of its proper divisors (697218064).

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

401120256 is a wasteful number, since it uses less digits than its factorization.

401120256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3589 (or 3571 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 401120256 is about 20027.9868184498. The cubic root of 401120256 is about 737.4935016568.

The spelling of 401120256 in words is "four hundred one million, one hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 1024 1184 1536 1776 2368 3072 3529 3552 4736 7058 7104 9472 10587 14116 14208 18944 21174 28232 28416 37888 42348 56464 56832 84696 112928 113664 130573 169392 225856 261146 338784 391719 451712 522292 677568 783438 903424 1044584 1355136 1566876 1806848 2089168 2710272 3133752 3613696 4178336 5420544 6267504 8356672 10841088 12535008 16713344 25070016 33426688 50140032 66853376 100280064 133706752 200560128 401120256