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400187140 = 225174779317
BaseRepresentation
bin10111110110100…
…101111100000100
31000220000121112221
4113312211330010
51304421442030
6103413222124
712626351233
oct2766457404
91026017487
10400187140
11195993581
12b2031944
1364ba8832
143b212b1a
15251ede7a
hex17da5f04

400187140 has 96 divisors (see below), whose sum is σ = 923166720. Its totient is φ = 145127424.

The previous prime is 400187129. The next prime is 400187159. The reversal of 400187140 is 41781004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1262262 + ... + 1262578.

It is an arithmetic number, because the mean of its divisors is an integer number (9616320).

Almost surely, 2400187140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400187140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461583360).

400187140 is an abundant number, since it is smaller than the sum of its proper divisors (522979580).

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

400187140 is a wasteful number, since it uses less digits than its factorization.

400187140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 400187140 is about 20004.6779529189. The cubic root of 400187140 is about 736.9211867558.

The spelling of 400187140 in words is "four hundred million, one hundred eighty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 47 68 79 85 94 158 170 188 235 316 317 340 395 470 634 790 799 940 1268 1343 1580 1585 1598 2686 3170 3196 3713 3995 5372 5389 6340 6715 7426 7990 10778 13430 14852 14899 15980 18565 21556 25043 26860 26945 29798 37130 50086 53890 59596 63121 74260 74495 100172 107780 125215 126242 148990 250430 252484 253283 297980 315605 425731 500860 506566 631210 851462 1013132 1177021 1262420 1266415 1702924 2128655 2354042 2532830 4257310 4708084 5065660 5885105 8514620 11770210 20009357 23540420 40018714 80037428 100046785 200093570 400187140