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400899060 = 223259722961
BaseRepresentation
bin10111111001010…
…011101111110100
31000221100210010100
4113321103233310
51310112232220
6103440354100
712635404632
oct2771235764
91027323110
10400899060
1119632a441
12b2315930
13650978a3
143b35a352
15252ded90
hex17e53bf4

400899060 has 72 divisors (see below), whose sum is σ = 1228650696. Its totient is φ = 105799680.

The previous prime is 400899017. The next prime is 400899071. The reversal of 400899060 is 60998004.

It can be written as a sum of positive squares in 4 ways, for example, as 59166864 + 341732196 = 7692^2 + 18486^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5980 + ... + 28940.

It is an arithmetic number, because the mean of its divisors is an integer number (17064593).

Almost surely, 2400899060 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 400899060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614325348).

400899060 is an abundant number, since it is smaller than the sum of its proper divisors (827751636).

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

400899060 is a wasteful number, since it uses less digits than its factorization.

400899060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23073 (or 23068 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 400899060 is about 20022.4638843475. The cubic root of 400899060 is about 737.3579142154.

The spelling of 400899060 in words is "four hundred million, eight hundred ninety-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 582 873 970 1164 1455 1746 1940 2910 3492 4365 5820 8730 17460 22961 45922 68883 91844 114805 137766 206649 229610 275532 344415 413298 459220 688830 826596 1033245 1377660 2066490 2227217 4132980 4454434 6681651 8908868 11136085 13363302 20044953 22272170 26726604 33408255 40089906 44544340 66816510 80179812 100224765 133633020 200449530 400899060