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1126976040 = 2332526311903
BaseRepresentation
bin100001100101100…
…0100101000101000
32220112121022111100
41003023010220220
54302001213130
6303455001400
736633065301
oct10313045050
92815538440
101126976040
1152916a863
12275509260
1314c637438
14a99617a8
1568e13c60
hex432c4a28

1126976040 has 96 divisors (see below), whose sum is σ = 3676907520. Its totient is φ = 299359104.

The previous prime is 1126976033. The next prime is 1126976041. The reversal of 1126976040 is 406796211.

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

It is a junction number, because it is equal to n+sod(n) for n = 1126975986 and 1126976004.

It is not an unprimeable number, because it can be changed into a prime (1126976041) 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, 88729 + ... + 100631.

It is an arithmetic number, because the mean of its divisors is an integer number (38301120).

Almost surely, 21126976040 is an apocalyptic number.

1126976040 is a gapful number since it is divisible by the number (10) 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 1126976040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838453760).

1126976040 is an abundant number, since it is smaller than the sum of its proper divisors (2549931480).

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

1126976040 is a wasteful number, since it uses less digits than its factorization.

1126976040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12183 (or 12176 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1126976040 is about 33570.4638037665. The cubic root of 1126976040 is about 1040.6504929501.

The spelling of 1126976040 in words is "one billion, one hundred twenty-six million, nine hundred seventy-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 263 360 526 789 1052 1315 1578 2104 2367 2630 3156 3945 4734 5260 6312 7890 9468 10520 11835 11903 15780 18936 23670 23806 31560 35709 47340 47612 59515 71418 94680 95224 107127 119030 142836 178545 214254 238060 285672 357090 428508 476120 535635 714180 857016 1071270 1428360 2142540 3130489 4285080 6260978 9391467 12521956 15652445 18782934 25043912 28174401 31304890 37565868 46957335 56348802 62609780 75131736 93914670 112697604 125219560 140872005 187829340 225395208 281744010 375658680 563488020 1126976040