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401012520 = 233525713003
BaseRepresentation
bin10111111001101…
…111011100101000
31000221120112202120
4113321233130220
51310124400040
6103443031240
712636356466
oct2771573450
91027515676
10401012520
111963a7707
12b236b520
136510741c
143b389836
15253137d0
hex17e6f728

401012520 has 64 divisors (see below), whose sum is σ = 1207811520. Its totient is φ = 106512384.

The previous prime is 401012503. The next prime is 401012569. The reversal of 401012520 is 25210104.

It is a super-2 number, since 2×4010125202 = 321622082393500800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 401012520.

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, 24339 + ... + 37341.

It is an arithmetic number, because the mean of its divisors is an integer number (18872055).

Almost surely, 2401012520 is an apocalyptic number.

401012520 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 401012520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603905760).

401012520 is an abundant number, since it is smaller than the sum of its proper divisors (806799000).

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

401012520 is a wasteful number, since it uses less digits than its factorization.

401012520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13274 (or 13270 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 401012520 is about 20025.2970015428. The cubic root of 401012520 is about 737.4274684965.

Adding to 401012520 its reverse (25210104), we get a palindrome (426222624).

The spelling of 401012520 in words is "four hundred one million, twelve thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 257 514 771 1028 1285 1542 2056 2570 3084 3855 5140 6168 7710 10280 13003 15420 26006 30840 39009 52012 65015 78018 104024 130030 156036 195045 260060 312072 390090 520120 780180 1560360 3341771 6683542 10025313 13367084 16708855 20050626 26734168 33417710 40101252 50126565 66835420 80202504 100253130 133670840 200506260 401012520