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1986530840 = 235731792897
BaseRepresentation
bin111011001101000…
…0000111000011000
312010110000020000022
41312122000320120
513032022441330
6525042130012
7100141143050
oct16632007030
95113006008
101986530840
1192a388028
12475350908
1325873c748
1414bb90560
15b9601ae5
hex76680e18

1986530840 has 128 divisors (see below), whose sum is σ = 5341593600. Its totient is φ = 650557440.

The previous prime is 1986530737. The next prime is 1986530857. The reversal of 1986530840 is 480356891.

It is a super-2 number, since 2×19865308402 = 7892609556542211200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1986530791 and 1986530800.

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 31 ways as a sum of consecutive naturals, for example, 684272 + ... + 687168.

It is an arithmetic number, because the mean of its divisors is an integer number (41731200).

Almost surely, 21986530840 is an apocalyptic number.

1986530840 is a gapful number since it is divisible by the number (10) 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 1986530840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670796800).

1986530840 is an abundant number, since it is smaller than the sum of its proper divisors (3355062760).

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

1986530840 is a wasteful number, since it uses less digits than its factorization.

1986530840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3025 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 1986530840 is about 44570.5153661027. The cubic root of 1986530840 is about 1257.0863304227.

It can be divided in two parts, 19865 and 30840, that added together give a palindrome (50705).

The spelling of 1986530840 in words is "one billion, nine hundred eighty-six million, five hundred thirty thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 79 124 140 155 158 217 248 280 310 316 395 434 553 620 632 790 868 1085 1106 1240 1580 1736 2170 2212 2449 2765 2897 3160 4340 4424 4898 5530 5794 8680 9796 11060 11588 12245 14485 17143 19592 20279 22120 23176 24490 28970 34286 40558 48980 57940 68572 81116 85715 89807 97960 101395 115880 137144 162232 171430 179614 202790 228863 342860 359228 405580 449035 457726 628649 685720 718456 811160 898070 915452 1144315 1257298 1602041 1796140 1830904 2288630 2514596 3143245 3204082 3592280 4577260 5029192 6286490 6408164 7094753 8010205 9154520 12572980 12816328 14189506 16020410 25145960 28379012 32040820 35473765 49663271 56758024 64081640 70947530 99326542 141895060 198653084 248316355 283790120 397306168 496632710 993265420 1986530840