Search a number
-
+
1987734096 = 2432191375303
BaseRepresentation
bin111011001111010…
…0110101001010000
312010112021100120100
41312132212221100
513032324442341
6525124012400
7100154314065
oct16636465120
95115240510
101987734096
1193002a057
12475831100
13258a7132a
1414bdc4c6c
15b978d3b6
hex767a6a50

1987734096 has 120 divisors (see below), whose sum is σ = 5899533120. Its totient is φ = 623006208.

The previous prime is 1987734059. The next prime is 1987734097. The reversal of 1987734096 is 6904377891.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1987734097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 372181 + ... + 377483.

It is an arithmetic number, because the mean of its divisors is an integer number (49162776).

Almost surely, 21987734096 is an apocalyptic number.

1987734096 is a gapful number since it is divisible by the number (16) 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 1987734096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949766560).

1987734096 is an abundant number, since it is smaller than the sum of its proper divisors (3911799024).

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

1987734096 is a wasteful number, since it uses less digits than its factorization.

1987734096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5473 (or 5464 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 1987734096 is about 44584.0116633755. The cubic root of 1987734096 is about 1257.3400879356.

The spelling of 1987734096 in words is "one billion, nine hundred eighty-seven million, seven hundred thirty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 137 144 152 171 228 274 304 342 411 456 548 684 822 912 1096 1233 1368 1644 2192 2466 2603 2736 3288 4932 5206 5303 6576 7809 9864 10412 10606 15618 15909 19728 20824 21212 23427 31236 31818 41648 42424 46854 47727 62472 63636 84848 93708 95454 100757 124944 127272 187416 190908 201514 254544 302271 374832 381816 403028 604542 726511 763632 806056 906813 1209084 1453022 1612112 1813626 2179533 2418168 2906044 3627252 4359066 4836336 5812088 6538599 7254504 8718132 11624176 13077198 13803709 14509008 17436264 26154396 27607418 34872528 41411127 52308792 55214836 82822254 104617584 110429672 124233381 165644508 220859344 248466762 331289016 496933524 662578032 993867048 1987734096