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1116345090 = 235725121179
BaseRepresentation
bin100001010001010…
…0001001100000010
32212210121012120110
41002202201030002
54241241020330
6302435052150
736443530260
oct10242411402
92783535513
101116345090
11523169653
12271a41056
1314a384633
14a8395430
1568013db0
hex428a1302

1116345090 has 64 divisors (see below), whose sum is σ = 3074319360. Its totient is φ = 254136000.

The previous prime is 1116345029. The next prime is 1116345091. The reversal of 1116345090 is 905436111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1116345091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42121 + ... + 63299.

It is an arithmetic number, because the mean of its divisors is an integer number (48036240).

Almost surely, 21116345090 is an apocalyptic number.

1116345090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1116345090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537159680).

1116345090 is an abundant number, since it is smaller than the sum of its proper divisors (1957974270).

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

1116345090 is a wasteful number, since it uses less digits than its factorization.

1116345090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21447.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 1116345090 is about 33411.7507772340. The cubic root of 1116345090 is about 1037.3679406114.

The spelling of 1116345090 in words is "one billion, one hundred sixteen million, three hundred forty-five thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 251 502 753 1255 1506 1757 2510 3514 3765 5271 7530 8785 10542 17570 21179 26355 42358 52710 63537 105895 127074 148253 211790 296506 317685 444759 635370 741265 889518 1482530 2223795 4447590 5315929 10631858 15947787 26579645 31895574 37211503 53159290 74423006 79738935 111634509 159477870 186057515 223269018 372115030 558172545 1116345090