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1981362240 = 26325111317283
BaseRepresentation
bin111011000011001…
…0011000001000000
312010002021122000200
41312012103001000
513024212042430
6524335245200
7100046205204
oct16606230100
95102248020
101981362240
11927477860
12473679800
1325764ccc0
1414b206b04
15b8e30460
hex76193040

1981362240 has 672 divisors, whose sum is σ = 8507431296. Its totient is φ = 415825920.

The previous prime is 1981362197. The next prime is 1981362263. The reversal of 1981362240 is 422631891.

1981362240 is a `hidden beast` number, since 19 + 8 + 13 + 622 + 4 + 0 = 666.

It is a super-3 number, since 3×19813622403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1981362195 and 1981362204.

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 95 ways as a sum of consecutive naturals, for example, 7001139 + ... + 7001421.

It is an arithmetic number, because the mean of its divisors is an integer number (12659868).

Almost surely, 21981362240 is an apocalyptic number.

1981362240 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 1981362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4253715648).

1981362240 is an abundant number, since it is smaller than the sum of its proper divisors (6526069056).

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

1981362240 is a wasteful number, since it uses less digits than its factorization.

1981362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1981362240 is about 44512.4953243468. The cubic root of 1981362240 is about 1255.9951451528.

The spelling of 1981362240 in words is "one billion, nine hundred eighty-one million, three hundred sixty-two thousand, two hundred forty".