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1400845480 = 235613831499
BaseRepresentation
bin101001101111111…
…0011010010101000
310121121221022201221
41103133303102220
510332104023410
6351000551424
746466663416
oct12337632250
93547838657
101400845480
11659816a41
12331182574
131942b6568
14d40922b6
1582eb04da
hex537f34a8

1400845480 has 64 divisors (see below), whose sum is σ = 3214080000. Its totient is φ = 549346560.

The previous prime is 1400845477. The next prime is 1400845489. The reversal of 1400845480 is 845480041.

It is not an unprimeable number, because it can be changed into a prime (1400845489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 933771 + ... + 935269.

It is an arithmetic number, because the mean of its divisors is an integer number (50220000).

Almost surely, 21400845480 is an apocalyptic number.

1400845480 is a gapful number since it is divisible by the number (10) 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 1400845480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607040000).

1400845480 is an abundant number, since it is smaller than the sum of its proper divisors (1813234520).

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

1400845480 is a wasteful number, since it uses less digits than its factorization.

1400845480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The square root of 1400845480 is about 37427.8703642085. The cubic root of 1400845480 is about 1118.9140941744.

The spelling of 1400845480 in words is "one billion, four hundred million, eight hundred forty-five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 383 488 610 766 1220 1499 1532 1915 2440 2998 3064 3830 5996 7495 7660 11992 14990 15320 23363 29980 46726 59960 91439 93452 116815 182878 186904 233630 365756 457195 467260 574117 731512 914390 934520 1148234 1828780 2296468 2870585 3657560 4592936 5741170 11482340 22964680 35021137 70042274 140084548 175105685 280169096 350211370 700422740 1400845480