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1984109124 = 22319291092753
BaseRepresentation
bin111011001000011…
…0001101001000100
312010021110012001010
41312100301221010
513030412442444
6524514202220
7100111435464
oct16620615104
95107405033
101984109124
11928a83608
12474583370
132580a238a
1414b71dba4
15b92c42b9
hex76431a44

1984109124 has 96 divisors (see below), whose sum is σ = 5089392000. Its totient is φ = 599187456.

The previous prime is 1984109093. The next prime is 1984109159. The reversal of 1984109124 is 4219014891.

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 31 ways as a sum of consecutive naturals, for example, 719332 + ... + 722084.

It is an arithmetic number, because the mean of its divisors is an integer number (53014500).

Almost surely, 21984109124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1984109124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544696000).

1984109124 is an abundant number, since it is smaller than the sum of its proper divisors (3105282876).

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

1984109124 is a wasteful number, since it uses less digits than its factorization.

1984109124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 1984109124 is about 44543.3398388581. The cubic root of 1984109124 is about 1256.5752981701.

The spelling of 1984109124 in words is "one billion, nine hundred eighty-four million, one hundred nine thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 76 87 109 114 116 174 218 228 327 348 436 551 654 1102 1308 1653 2071 2204 2753 3161 3306 4142 5506 6213 6322 6612 8259 8284 9483 11012 12426 12644 16518 18966 24852 33036 37932 52307 60059 79837 104614 120118 156921 159674 180177 209228 239511 240236 300077 313842 319348 360354 479022 600154 627684 720708 900231 958044 1200308 1516903 1800462 3033806 3600924 4550709 5701463 6067612 8702233 9101418 11402926 17104389 17404466 18202836 22805852 26106699 34208778 34808932 52213398 68417556 104426796 165342427 330684854 496027281 661369708 992054562 1984109124