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1014555040 = 25517336653
BaseRepresentation
bin111100011110001…
…110000110100000
32121201001201212121
4330132032012200
54034211230130
6244401234024
734066401262
oct7436160640
92551051777
101014555040
11480765244
12243932914
13132265135
1498a59b32
155e108d7a
hex3c78e1a0

1014555040 has 48 divisors (see below), whose sum is σ = 2410806888. Its totient is φ = 403465216.

The previous prime is 1014554977. The next prime is 1014555109. The reversal of 1014555040 is 405554101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 940526224 + 74028816 = 30668^2 + 8604^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1014554996 and 1014555014.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9354 + ... + 46006.

Almost surely, 21014555040 is an apocalyptic number.

1014555040 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 1014555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205403444).

1014555040 is an abundant number, since it is smaller than the sum of its proper divisors (1396251848).

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

1014555040 is a wasteful number, since it uses less digits than its factorization.

1014555040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36841 (or 36833 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 1014555040 is about 31852.0806227788. The cubic root of 1014555040 is about 1004.8283297116.

The spelling of 1014555040 in words is "one billion, fourteen million, five hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 173 346 692 865 1384 1730 2768 3460 5536 6920 13840 27680 36653 73306 146612 183265 293224 366530 586448 733060 1172896 1466120 2932240 5864480 6340969 12681938 25363876 31704845 50727752 63409690 101455504 126819380 202911008 253638760 507277520 1014555040