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1350874840 = 23575878219
BaseRepresentation
bin101000010000100…
…1011011011011000
310111010220112220111
41100201023123120
510231310443330
6342013534104
745322150420
oct12041133330
93433815814
101350874840
11633596297
123184a4334
13186b3b633
14cb5a5480
157d8de32a
hex5084b6d8

1350874840 has 64 divisors (see below), whose sum is σ = 3480019200. Its totient is φ = 462311808.

The previous prime is 1350874831. The next prime is 1350874867. The reversal of 1350874840 is 484780531.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1350874793 and 1350874802.

It is a congruent number.

It is an unprimeable number.

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, 160251 + ... + 168469.

It is an arithmetic number, because the mean of its divisors is an integer number (54375300).

Almost surely, 21350874840 is an apocalyptic number.

1350874840 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 1350874840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740009600).

1350874840 is an abundant number, since it is smaller than the sum of its proper divisors (2129144360).

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

1350874840 is a wasteful number, since it uses less digits than its factorization.

1350874840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8824 (or 8820 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 1350874840 is about 36754.2492781447. The cubic root of 1350874840 is about 1105.4481341981.

1350874840 divided by its sum of digits (40) gives a triangular number (33771871 = T8218).

The spelling of 1350874840 in words is "one billion, three hundred fifty million, eight hundred seventy-four thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 587 1174 2348 2935 4109 4696 5870 8218 8219 11740 16436 16438 20545 23480 32872 32876 41090 41095 57533 65752 82180 82190 115066 164360 164380 230132 287665 328760 460264 575330 1150660 2301320 4824553 9649106 19298212 24122765 33771871 38596424 48245530 67543742 96491060 135087484 168859355 192982120 270174968 337718710 675437420 1350874840