Search a number
-
+
2432136780 = 223458291811
BaseRepresentation
bin1001000011110111…
…0111011001001100
320021111111100110000
42100331313121030
514440111334110
61041201044300
7114161551533
oct22075673114
96244440400
102432136780
1110389723a7
1257a626690
132c9b5b3b8
1419102731a
15e37c31c0
hex90f7764c

2432136780 has 120 divisors (see below), whose sum is σ = 7643124720. Its totient is φ = 647429760.

The previous prime is 2432136761. The next prime is 2432136797. The reversal of 2432136780 is 876312342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1342075 + ... + 1343885.

It is an arithmetic number, because the mean of its divisors is an integer number (63692706).

Almost surely, 22432136780 is an apocalyptic number.

2432136780 is a gapful number since it is divisible by the number (20) 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 2432136780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821562360).

2432136780 is an abundant number, since it is smaller than the sum of its proper divisors (5210987940).

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

2432136780 is a wasteful number, since it uses less digits than its factorization.

2432136780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2432136780 is about 49316.6987946274. The cubic root of 2432136780 is about 1344.8153733761.

The spelling of 2432136780 in words is "two billion, four hundred thirty-two million, one hundred thirty-six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 829 1620 1658 1811 2487 3316 3622 4145 4974 5433 7244 7461 8290 9055 9948 10866 12435 14922 16299 16580 18110 21732 22383 24870 27165 29844 32598 36220 37305 44766 48897 49740 54330 65196 67149 74610 81495 89532 97794 108660 111915 134298 146691 149220 162990 195588 223830 244485 268596 293382 325980 335745 447660 488970 586764 671490 733455 977940 1342980 1466910 1501319 2933820 3002638 4503957 6005276 7506595 9007914 13511871 15013190 18015828 22519785 27023742 30026380 40535613 45039570 54047484 67559355 81071226 90079140 121606839 135118710 162142452 202678065 243213678 270237420 405356130 486427356 608034195 810712260 1216068390 2432136780