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1131709488 = 243721337013
BaseRepresentation
bin100001101110100…
…1000010000110000
32220212111210120020
41003131020100300
54304204200423
6304144243440
740021241400
oct10335102060
92825453506
101131709488
115309030a8
12277010580
13150603ab0
14aa434800
156954b4e3
hex43748430

1131709488 has 120 divisors (see below), whose sum is σ = 3662609328. Its totient is φ = 298464768.

The previous prime is 1131709487. The next prime is 1131709519. The reversal of 1131709488 is 8849071311.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1131709487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12070 + ... + 49082.

Almost surely, 21131709488 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 1131709488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831304664).

1131709488 is an abundant number, since it is smaller than the sum of its proper divisors (2530899840).

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

1131709488 is a wasteful number, since it uses less digits than its factorization.

1131709488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37051 (or 37038 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 1131709488 is about 33640.8901190203. The cubic root of 1131709488 is about 1042.1054143326.

The spelling of 1131709488 in words is "one billion, one hundred thirty-one million, seven hundred nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 364 392 546 588 624 637 728 784 1092 1176 1274 1456 1911 2184 2352 2548 3822 4368 5096 7644 10192 15288 30576 37013 74026 111039 148052 222078 259091 296104 444156 481169 518182 592208 777273 888312 962338 1036364 1443507 1554546 1776624 1813637 1924676 2072728 2887014 3109092 3368183 3627274 3849352 4145456 5440911 5774028 6218184 6736366 7254548 7698704 10104549 10881822 11548056 12436368 13472732 14509096 20209098 21763644 23096112 23577281 26945464 29018192 40418196 43527288 47154562 53890928 70731843 80836392 87054576 94309124 141463686 161672784 188618248 282927372 377236496 565854744 1131709488