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1990468368 = 243275933469
BaseRepresentation
bin111011010100100…
…0010001100010000
312010201102021021200
41312221002030100
513034024441433
6525302351200
7100216462530
oct16651021420
95121367250
101990468368
11931627389
1247672b500
132594baa45
1414c4d74c0
15b9b2d613
hex76a42310

1990468368 has 120 divisors (see below), whose sum is σ = 6474436800. Its totient is φ = 559049472.

The previous prime is 1990468351. The next prime is 1990468387. The reversal of 1990468368 is 8638640991.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42738 + ... + 76206.

It is an arithmetic number, because the mean of its divisors is an integer number (53953640).

Almost surely, 21990468368 is an apocalyptic number.

1990468368 is a gapful number since it is divisible by the number (18) 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 1990468368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237218400).

1990468368 is an abundant number, since it is smaller than the sum of its proper divisors (4483968432).

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

1990468368 is a wasteful number, since it uses less digits than its factorization.

1990468368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33549 (or 33540 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 1990468368 is about 44614.6653915503. The cubic root of 1990468368 is about 1257.9163445289.

The spelling of 1990468368 in words is "one billion, nine hundred ninety million, four hundred sixty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 59 63 72 84 112 118 126 144 168 177 236 252 336 354 413 472 504 531 708 826 944 1008 1062 1239 1416 1652 2124 2478 2832 3304 3717 4248 4956 6608 7434 8496 9912 14868 19824 29736 33469 59472 66938 100407 133876 200814 234283 267752 301221 401628 468566 535504 602442 702849 803256 937132 1204884 1405698 1606512 1874264 1974671 2108547 2409768 2811396 3748528 3949342 4217094 4819536 5622792 5924013 7898684 8434188 11245584 11848026 13822697 15797368 16868376 17772039 23696052 27645394 31594736 33736752 35544078 41468091 47392104 55290788 71088156 82936182 94784208 110581576 124404273 142176312 165872364 221163152 248808546 284352624 331744728 497617092 663489456 995234184 1990468368