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2149590780 = 2232529411799
BaseRepresentation
bin1000000000100000…
…0010011011111100
312112210211112012100
42000020002123330
513400243401110
6553145105100
7104161135341
oct20010023374
95483745170
102149590780
11a0342a407
124bba88190
13283461c0c
141656b87c8
15c8ab0bc0
hex802026fc

2149590780 has 72 divisors (see below), whose sum is σ = 6745284000. Its totient is φ = 553456512.

The previous prime is 2149590761. The next prime is 2149590797. The reversal of 2149590780 is 870959412.

2149590780 is a `hidden beast` number, since 2 + 1 + 495 + 90 + 78 + 0 = 666.

It is a super-2 number, since 2×21495907802 = 9241481042922016800, which contains 22 as substring.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 200680 + ... + 211119.

It is an arithmetic number, because the mean of its divisors is an integer number (93684500).

Almost surely, 22149590780 is an apocalyptic number.

2149590780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2149590780 is an abundant number, since it is smaller than the sum of its proper divisors (4595693220).

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

2149590780 is a wasteful number, since it uses less digits than its factorization.

2149590780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411843 (or 411838 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 2149590780 is about 46363.6795347393. The cubic root of 2149590780 is about 1290.5809894218.

The spelling of 2149590780 in words is "two billion, one hundred forty-nine million, five hundred ninety thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 411799 823598 1235397 1647196 2058995 2470794 3706191 4117990 4941588 6176985 7412382 8235980 11942171 12353970 14824764 18530955 23884342 24707940 35826513 37061910 47768684 59710855 71653026 74123820 107479539 119421710 143306052 179132565 214959078 238843420 358265130 429918156 537397695 716530260 1074795390 2149590780