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401447640 = 233511304127
BaseRepresentation
bin10111111011011…
…001101011011000
31000222101122122010
4113323121223120
51310232311030
6103500225520
712643151166
oct2773315330
91028348563
10401447640
11196674610
12b253b2a0
136522a4a9
143b460236
152539c6b0
hex17ed9ad8

401447640 has 64 divisors (see below), whose sum is σ = 1313832960. Its totient is φ = 97320320.

The previous prime is 401447617. The next prime is 401447653. The reversal of 401447640 is 46744104.

It is a super-2 number, since 2×4014476402 = 322320415323139200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 401447598 and 401447607.

It is a congruent number.

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, 150744 + ... + 153383.

It is an arithmetic number, because the mean of its divisors is an integer number (20528640).

Almost surely, 2401447640 is an apocalyptic number.

401447640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401447640 is an abundant number, since it is smaller than the sum of its proper divisors (912385320).

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

401447640 is a wasteful number, since it uses less digits than its factorization.

401447640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304152 (or 304148 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 401447640 is about 20036.1583144075. The cubic root of 401447640 is about 737.6940881493.

The spelling of 401447640 in words is "four hundred one million, four hundred forty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 304127 608254 912381 1216508 1520635 1824762 2433016 3041270 3345397 3649524 4561905 6082540 6690794 7299048 9123810 10036191 12165080 13381588 16726985 18247620 20072382 26763176 33453970 36495240 40144764 50180955 66907940 80289528 100361910 133815880 200723820 401447640