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2150442540 = 2233517433541
BaseRepresentation
bin1000000000101101…
…0010011000101100
312112212102210121000
42000023102120230
513401003130130
6553215240300
7104201313531
oct20013223054
95485383530
102150442540
11a03961344
12500219090
1328369c80c
1416585ad88
15c8bcd260
hex802d262c

2150442540 has 192 divisors, whose sum is σ = 7113294720. Its totient is φ = 537477120.

The previous prime is 2150442527. The next prime is 2150442551. The reversal of 2150442540 is 452440512.

2150442540 is a `hidden beast` number, since 215 + 0 + 442 + 5 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3974670 + ... + 3975210.

It is an arithmetic number, because the mean of its divisors is an integer number (37048410).

Almost surely, 22150442540 is an apocalyptic number.

2150442540 is a gapful number since it is divisible by the number (20) 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 2150442540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556647360).

2150442540 is an abundant number, since it is smaller than the sum of its proper divisors (4962852180).

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

2150442540 is a wasteful number, since it uses less digits than its factorization.

2150442540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2150442540 is about 46372.8642634893. The cubic root of 2150442540 is about 1290.7514280798.

The spelling of 2150442540 in words is "two billion, one hundred fifty million, four hundred forty-two thousand, five hundred forty".