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1022049090 = 23451261789
BaseRepresentation
bin111100111010110…
…011101101000010
32122020011110210000
4330322303231002
54043121032330
6245230020430
734220162646
oct7472635502
92566143700
101022049090
11484a13677
12246347716
1313398a19a
1499a4ac26
155ead9560
hex3ceb3b42

1022049090 has 40 divisors (see below), whose sum is σ = 2748178620. Its totient is φ = 272546208.

The previous prime is 1022049089. The next prime is 1022049103. The reversal of 1022049090 is 909402201.

It can be written as a sum of positive squares in 2 ways, for example, as 881555481 + 140493609 = 29691^2 + 11853^2 .

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 (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 630085 + ... + 631704.

Almost surely, 21022049090 is an apocalyptic number.

1022049090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1022049090 is an abundant number, since it is smaller than the sum of its proper divisors (1726129530).

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

1022049090 is a wasteful number, since it uses less digits than its factorization.

1022049090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261808 (or 1261799 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1022049090 is about 31969.5024984750. The cubic root of 1022049090 is about 1007.2963307474.

The spelling of 1022049090 in words is "one billion, twenty-two million, forty-nine thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1261789 2523578 3785367 6308945 7570734 11356101 12617890 18926835 22712202 34068303 37853670 56780505 68136606 102204909 113561010 170341515 204409818 340683030 511024545 1022049090