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401224520 = 235191015227
BaseRepresentation
bin10111111010100…
…011001101001000
31000221222022120102
4113322203031020
51310203141040
6103451344532
712641231534
oct2772431510
91027868512
10401224520
11196531a14
12b2452148
136517ca78
143b402bc4
1525356515
hex17ea3348

401224520 has 64 divisors (see below), whose sum is σ = 959860800. Its totient is φ = 150508800.

The previous prime is 401224519. The next prime is 401224547. The reversal of 401224520 is 25422104.

It is a happy number.

It is a super-2 number, since 2×4012245202 = 321962230898460800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 401224492 and 401224501.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74147 + ... + 79373.

It is an arithmetic number, because the mean of its divisors is an integer number (14997825).

Almost surely, 2401224520 is an apocalyptic number.

401224520 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 401224520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479930400).

401224520 is an abundant number, since it is smaller than the sum of its proper divisors (558636280).

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

401224520 is a wasteful number, since it uses less digits than its factorization.

401224520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5358 (or 5354 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 401224520 is about 20030.5896068987. The cubic root of 401224520 is about 737.5573955140.

Adding to 401224520 its reverse (25422104), we get a palindrome (426646624).

The spelling of 401224520 in words is "four hundred one million, two hundred twenty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 101 152 190 202 380 404 505 760 808 1010 1919 2020 3838 4040 5227 7676 9595 10454 15352 19190 20908 26135 38380 41816 52270 76760 99313 104540 198626 209080 397252 496565 527927 794504 993130 1055854 1986260 2111708 2639635 3972520 4223416 5279270 10030613 10558540 20061226 21117080 40122452 50153065 80244904 100306130 200612260 401224520