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1131824916 = 2232712571723
BaseRepresentation
bin100001101110110…
…0100011100010100
32220212201122220100
41003131210130110
54304221344131
6304150534100
740022232045
oct10335443424
92825648810
101131824916
115309818a2
12277067330
131506444b1
14aa4648cc
15695707e6
hex43764714

1131824916 has 72 divisors (see below), whose sum is σ = 2914277184. Its totient is φ = 370298880.

The previous prime is 1131824843. The next prime is 1131824983. The reversal of 1131824916 is 6194281311.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 656031 + ... + 657753.

It is an arithmetic number, because the mean of its divisors is an integer number (40476072).

Almost surely, 21131824916 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 1131824916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457138592).

1131824916 is an abundant number, since it is smaller than the sum of its proper divisors (1782452268).

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

1131824916 is a wasteful number, since it uses less digits than its factorization.

1131824916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2056 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 1131824916 is about 33642.6056660301. The cubic root of 1131824916 is about 1042.1408427576.

The spelling of 1131824916 in words is "one billion, one hundred thirty-one million, eight hundred twenty-four thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 257 284 426 514 639 771 852 1028 1278 1542 1723 2313 2556 3084 3446 4626 5169 6892 9252 10338 15507 18247 20676 31014 36494 54741 62028 72988 109482 122333 164223 218964 244666 328446 366999 442811 489332 656892 733998 885622 1100997 1328433 1467996 1771244 2201994 2656866 3985299 4403988 5313732 7970598 15941196 31439581 62879162 94318743 125758324 188637486 282956229 377274972 565912458 1131824916