Search a number
-
+
1350085674 = 237374391979
BaseRepresentation
bin101000001111000…
…1010110000101010
310111002102110101010
41100132022300222
510231110220144
6341545004350
745312352560
oct12036126052
93432373333
101350085674
116330a7393
123181836b6
13186923382
14cb43ba30
157d7d55b9
hex5078ac2a

1350085674 has 64 divisors (see below), whose sum is σ = 3178137600. Its totient is φ = 374269248.

The previous prime is 1350085631. The next prime is 1350085699. The reversal of 1350085674 is 4765800531.

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 31 ways as a sum of consecutive naturals, for example, 681217 + ... + 683195.

It is an arithmetic number, because the mean of its divisors is an integer number (49658400).

Almost surely, 21350085674 is an apocalyptic number.

1350085674 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1350085674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589068800).

1350085674 is an abundant number, since it is smaller than the sum of its proper divisors (1828051926).

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

1350085674 is a wasteful number, since it uses less digits than its factorization.

1350085674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467.

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 1350085674 is about 36743.5119987189. The cubic root of 1350085674 is about 1105.2328287801.

The spelling of 1350085674 in words is "one billion, three hundred fifty million, eighty-five thousand, six hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 439 518 777 878 1317 1554 1979 2634 3073 3958 5937 6146 9219 11874 13853 16243 18438 27706 32486 41559 48729 73223 83118 97458 113701 146446 219669 227402 341103 439338 512561 682206 868781 1025122 1537683 1737562 2606343 3075366 5212686 6081467 12162934 18244401 32144897 36488802 64289794 96434691 192869382 225014279 450028558 675042837 1350085674