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401129240 = 23541277883
BaseRepresentation
bin10111111010001…
…011111100011000
31000221210110212112
4113322023330120
51310142113430
6103445331452
712640354001
oct2772137430
91027713775
10401129240
11196477376
12b2406b88
13651485a5
143b3ba1a8
1525338195
hex17e8bf18

401129240 has 64 divisors (see below), whose sum is σ = 928942560. Its totient is φ = 155796480.

The previous prime is 401129227. The next prime is 401129249. The reversal of 401129240 is 42921104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401129249) 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 15 ways as a sum of consecutive naturals, for example, 453839 + ... + 454721.

Almost surely, 2401129240 is an apocalyptic number.

401129240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401129240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464471280).

401129240 is an abundant number, since it is smaller than the sum of its proper divisors (527813320).

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

401129240 is a wasteful number, since it uses less digits than its factorization.

401129240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 401129240 is about 20028.2111033412. The cubic root of 401129240 is about 737.4990075635.

The spelling of 401129240 in words is "four hundred one million, one hundred twenty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 277 328 410 554 820 883 1108 1385 1640 1766 2216 2770 3532 4415 5540 7064 8830 11080 11357 17660 22714 35320 36203 45428 56785 72406 90856 113570 144812 181015 227140 244591 289624 362030 454280 489182 724060 978364 1222955 1448120 1956728 2445910 4891820 9783640 10028231 20056462 40112924 50141155 80225848 100282310 200564620 401129240