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840116745 = 335132231601
BaseRepresentation
bin110010000100110…
…010101000001001
32011112211100112000
4302010302220021
53210032213440
6215210341213
726550605646
oct6204625011
92145740460
10840116745
113a1251166
121b542a809
1310508a900
147d80cdcd
154db4d730
hex32132a09

840116745 has 96 divisors (see below), whose sum is σ = 1688636160. Its totient is φ = 395366400.

The previous prime is 840116729. The next prime is 840116803. The reversal of 840116745 is 547611048.

It is a happy number.

It is not a de Polignac number, because 840116745 - 24 = 840116729 is a prime.

It is a super-2 number, since 2×8401167452 = 1411592290458790050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 523945 + ... + 525545.

It is an arithmetic number, because the mean of its divisors is an integer number (17589960).

Almost surely, 2840116745 is an apocalyptic number.

It is an amenable number.

840116745 is an abundant number, since it is smaller than the sum of its proper divisors (848519415).

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

840116745 is a wasteful number, since it uses less digits than its factorization.

840116745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 840116745 is about 28984.7674649979. The cubic root of 840116745 is about 943.5825057197.

The spelling of 840116745 in words is "eight hundred forty million, one hundred sixteen thousand, seven hundred forty-five".

Divisors: 1 3 5 9 13 15 23 27 39 45 65 69 115 117 135 169 195 207 299 345 351 507 585 621 845 897 1035 1495 1521 1601 1755 2535 2691 3105 3887 4485 4563 4803 7605 8005 8073 11661 13455 14409 19435 20813 22815 24015 34983 36823 40365 43227 58305 62439 72045 104065 104949 110469 174915 184115 187317 216135 270569 312195 331407 478699 524745 552345 561951 811707 936585 994221 1352845 1436097 1657035 2393495 2435121 2809755 4058535 4308291 4971105 6223087 7180485 7305363 12175605 12924873 18669261 21541455 31115435 36526815 56007783 64624365 93346305 168023349 280038915 840116745