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990909774 = 23519239449
BaseRepresentation
bin111011000100000…
…001010101001110
32120001120102200000
4323010001111032
54012133103044
6242154345130
733361410531
oct7304012516
92501512600
10990909774
114693851a8
12237a2b1a6
1312a3a675a
1495862a18
155bed7d69
hex3b10154e

990909774 has 96 divisors (see below), whose sum is σ = 2358720000. Its totient is φ = 310915584.

The previous prime is 990909757. The next prime is 990909781. The reversal of 990909774 is 477909099.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 990909774.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2206702 + ... + 2207150.

It is an arithmetic number, because the mean of its divisors is an integer number (24570000).

Almost surely, 2990909774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990909774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179360000).

990909774 is an abundant number, since it is smaller than the sum of its proper divisors (1367810226).

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

990909774 is a wasteful number, since it uses less digits than its factorization.

990909774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The square root of 990909774 is about 31478.7193831007. The cubic root of 990909774 is about 996.9606966603.

The spelling of 990909774 in words is "nine hundred ninety million, nine hundred nine thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 239 243 342 449 478 486 513 717 898 1026 1347 1434 1539 2151 2694 3078 4041 4302 4541 4617 6453 8082 8531 9082 9234 12123 12906 13623 17062 19359 24246 25593 27246 36369 38718 40869 51186 58077 72738 76779 81738 107311 109107 116154 122607 153558 214622 218214 230337 245214 321933 367821 460674 643866 691011 735642 965799 1103463 1382022 1931598 2038909 2073033 2206926 2897397 4077818 4146066 5794794 6116727 8692191 12233454 17384382 18350181 26076573 36700362 52153146 55050543 110101086 165151629 330303258 495454887 990909774