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1145990680 = 235294612143
BaseRepresentation
bin100010001001110…
…0110111000011000
32221212101100200021
41010103212320120
54321333200210
6305414320224
740253521462
oct10423467030
92855340607
101145990680
1153897783a
1227b959074
131535641c3
14ac2b1132
156a91cbda
hex444e6e18

1145990680 has 64 divisors (see below), whose sum is σ = 2674425600. Its totient is φ = 441423360.

The previous prime is 1145990647. The next prime is 1145990687. The reversal of 1145990680 is 860995411.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145990687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533689 + ... + 535831.

It is an arithmetic number, because the mean of its divisors is an integer number (41787900).

Almost surely, 21145990680 is an apocalyptic number.

1145990680 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 1145990680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337212800).

1145990680 is an abundant number, since it is smaller than the sum of its proper divisors (1528434920).

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

1145990680 is a wasteful number, since it uses less digits than its factorization.

1145990680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The square root of 1145990680 is about 33852.4841038291. The cubic root of 1145990680 is about 1046.4705926862.

The spelling of 1145990680 in words is "one billion, one hundred forty-five million, nine hundred ninety thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 461 580 922 1160 1844 2143 2305 3688 4286 4610 8572 9220 10715 13369 17144 18440 21430 26738 42860 53476 62147 66845 85720 106952 124294 133690 248588 267380 310735 497176 534760 621470 987923 1242940 1975846 2485880 3951692 4939615 7903384 9879230 19758460 28649767 39516920 57299534 114599068 143248835 229198136 286497670 572995340 1145990680