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1131372384 = 25337443719
BaseRepresentation
bin100001101101111…
…0101111101100000
32220211212200010220
41003123311331200
54304112404014
6304133123040
740015335522
oct10333657540
92824780126
101131372384
115306a28aa
12276a89480
1315051651c
14aa387a12
15694d16a9
hex436f5f60

1131372384 has 96 divisors (see below), whose sum is σ = 3061255680. Its totient is φ = 365594112.

The previous prime is 1131372371. The next prime is 1131372449. The reversal of 1131372384 is 4832731311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1573177 + ... + 1573895.

It is an arithmetic number, because the mean of its divisors is an integer number (31888080).

Almost surely, 21131372384 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 1131372384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530627840).

1131372384 is an abundant number, since it is smaller than the sum of its proper divisors (1929883296).

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

1131372384 is a wasteful number, since it uses less digits than its factorization.

1131372384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1204 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 1131372384 is about 33635.8794146964. The cubic root of 1131372384 is about 1042.0019328904.

The spelling of 1131372384 in words is "one billion, one hundred thirty-one million, three hundred seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 443 444 592 719 886 888 1184 1329 1438 1772 1776 2157 2658 2876 3544 3552 4314 5316 5752 7088 8628 10632 11504 14176 16391 17256 21264 23008 26603 32782 34512 42528 49173 53206 65564 69024 79809 98346 106412 131128 159618 196692 212824 262256 318517 319236 393384 425648 524512 637034 638472 786768 851296 955551 1274068 1276944 1573536 1911102 2548136 2553888 3822204 5096272 7644408 10192544 11785129 15288816 23570258 30577632 35355387 47140516 70710774 94281032 141421548 188562064 282843096 377124128 565686192 1131372384