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2141987580 = 2232553224527
BaseRepresentation
bin111111110101100…
…0010001011111100
312112021112020120100
41333223002023330
513341322100310
6552314121100
7104036410515
oct17753021374
95467466510
102141987580
119aa106a77
124b9420190
132819cc295
14164699a0c
15c80acec0
hex7fac22fc

2141987580 has 72 divisors (see below), whose sum is σ = 6619983552. Its totient is φ = 560416896.

The previous prime is 2141987579. The next prime is 2141987587. The reversal of 2141987580 is 857891412.

2141987580 is a `hidden beast` number, since 21 + 41 + 9 + 8 + 7 + 580 = 666.

It is a super-2 number, since 2×21419875802 = 9176221585748512800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141987587) by changing a digit.

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, 102724 + ... + 121803.

It is an arithmetic number, because the mean of its divisors is an integer number (91944216).

Almost surely, 22141987580 is an apocalyptic number.

2141987580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141987580 is an abundant number, since it is smaller than the sum of its proper divisors (4477995972).

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

2141987580 is a wasteful number, since it uses less digits than its factorization.

2141987580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224595 (or 224590 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 2141987580 is about 46281.6116832593. The cubic root of 2141987580 is about 1289.0575774005.

The spelling of 2141987580 in words is "two billion, one hundred forty-one million, nine hundred eighty-seven thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 9540 224527 449054 673581 898108 1122635 1347162 2020743 2245270 2694324 3367905 4041486 4490540 6735810 8082972 10103715 11899931 13471620 20207430 23799862 35699793 40414860 47599724 59499655 71399586 107099379 118999310 142799172 178498965 214198758 237998620 356997930 428397516 535496895 713995860 1070993790 2141987580