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400059140 = 225134137529
BaseRepresentation
bin10111110110000…
…110101100000100
31000212210002222012
4113312012230010
51304403343030
6103410353352
712625306115
oct2766065404
91025702865
10400059140
11195906398
12b1b8b858
1364b624b0
143b1bc20c
15251c6095
hex17d86b04

400059140 has 48 divisors (see below), whose sum is σ = 926840880. Its totient is φ = 144107520.

The previous prime is 400059139. The next prime is 400059151. The reversal of 400059140 is 41950004.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 228553924 + 171505216 = 15118^2 + 13096^2 .

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, 8105 + ... + 29424.

It is an arithmetic number, because the mean of its divisors is an integer number (19309185).

Almost surely, 2400059140 is an apocalyptic number.

It is an amenable number.

400059140 is an abundant number, since it is smaller than the sum of its proper divisors (526781740).

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

400059140 is a wasteful number, since it uses less digits than its factorization.

400059140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37592 (or 37590 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 400059140 is about 20001.4784453550. The cubic root of 400059140 is about 736.8426102091.

The spelling of 400059140 in words is "four hundred million, fifty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 1066 2132 2665 5330 10660 37529 75058 150116 187645 375290 487877 750580 975754 1538689 1951508 2439385 3077378 4878770 6154756 7693445 9757540 15386890 20002957 30773780 40005914 80011828 100014785 200029570 400059140