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1641120690 = 2351197167307
BaseRepresentation
bin110000111010001…
…1000001110110010
311020101001120100210
41201310120032302
511330111330230
6430502524550
755445203266
oct14164301662
94211046323
101641120690
117724082a0
12399736756
13202002741
14117d5a0a6
1599122eb0
hex61d183b2

1641120690 has 128 divisors (see below), whose sum is σ = 4381267968. Its totient is φ = 390113280.

The previous prime is 1641120683. The next prime is 1641120697. The reversal of 1641120690 is 960211461.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1641120683) and next prime (1641120697).

It is a super-2 number, since 2×16411206902 = 5386554238292152200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1641120697) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5345517 + ... + 5345823.

It is an arithmetic number, because the mean of its divisors is an integer number (34228656).

Almost surely, 21641120690 is an apocalyptic number.

1641120690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1641120690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190633984).

1641120690 is an abundant number, since it is smaller than the sum of its proper divisors (2740147278).

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

1641120690 is a wasteful number, since it uses less digits than its factorization.

1641120690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1641120690 is about 40510.7478331368. The cubic root of 1641120690 is about 1179.5422647682.

The spelling of 1641120690 in words is "one billion, six hundred forty-one million, one hundred twenty thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 97 110 165 167 194 291 307 330 334 485 501 582 614 835 921 970 1002 1067 1455 1535 1670 1837 1842 2134 2505 2910 3070 3201 3377 3674 4605 5010 5335 5511 6402 6754 9185 9210 10131 10670 11022 16005 16199 16885 18370 20262 27555 29779 32010 32398 33770 48597 50655 51269 55110 59558 80995 89337 97194 101310 102538 148895 153807 161990 178189 178674 242985 256345 297790 307614 327569 356378 446685 485970 512690 534567 563959 655138 769035 890945 893370 982707 1069134 1127918 1538070 1637845 1691877 1781890 1965414 2672835 2819795 3275690 3383754 4913535 4973093 5345670 5639590 8459385 9827070 9946186 14919279 16918770 24865465 29838558 49730930 54704023 74596395 109408046 149192790 164112069 273520115 328224138 547040230 820560345 1641120690