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1125996384 = 2533171732
BaseRepresentation
bin100001100011101…
…0101011101100000
32220110202112122210
41003013111131200
54301223341014
6303422002120
736621545202
oct10307253540
92813675583
101125996384
11528660827
12275116340
1314c383566
14a9788772
1568cbd859
hex431d5760

1125996384 has 144 divisors (see below), whose sum is σ = 3137025024. Its totient is φ = 353203200.

The previous prime is 1125996367. The next prime is 1125996397. The reversal of 1125996384 is 4836995211.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (466560) is a multiple of the sum of its prime divisors (180).

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, 15424572 + ... + 15424644.

It is an arithmetic number, because the mean of its divisors is an integer number (21784896).

Almost surely, 21125996384 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 1125996384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568512512).

1125996384 is an abundant number, since it is smaller than the sum of its proper divisors (2011028640).

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

1125996384 is an equidigital number, since it uses as much as digits as its factorization.

1125996384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 180 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 1125996384 is about 33555.8695908778. The cubic root of 1125996384 is about 1040.3488671806.

The spelling of 1125996384 in words is "one billion, one hundred twenty-five million, nine hundred ninety-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 71 73 93 96 124 142 146 186 213 219 248 284 292 372 426 438 496 568 584 744 852 876 992 1136 1168 1488 1704 1752 2201 2263 2272 2336 2976 3408 3504 4402 4526 5183 5329 6603 6789 6816 7008 8804 9052 10366 10658 13206 13578 15549 15987 17608 18104 20732 21316 26412 27156 31098 31974 35216 36208 41464 42632 52824 54312 62196 63948 70432 72416 82928 85264 105648 108624 124392 127896 160673 165199 165856 170528 211296 217248 248784 255792 321346 330398 378359 482019 495597 497568 511584 642692 660796 756718 964038 991194 1135077 1285384 1321592 1513436 1928076 1982388 2270154 2570768 2643184 3026872 3856152 3964776 4540308 5141536 5286368 6053744 7712304 7929552 9080616 11729129 12107488 15424608 15859104 18161232 23458258 35187387 36322464 46916516 70374774 93833032 140749548 187666064 281499096 375332128 562998192 1125996384