Search a number
-
+
835042680 = 233253536571
BaseRepresentation
bin110001110001011…
…011110101111000
32011012021120012200
4301301123311320
53202232331210
6214505510200
726456513523
oct6161336570
92135246180
10835042680
113993a5a1a
121b37a2360
131040021c4
147cc8bbba
154d49a0c0
hex31c5bd78

835042680 has 96 divisors (see below), whose sum is σ = 2721990960. Its totient is φ = 222013440.

The previous prime is 835042679. The next prime is 835042709. The reversal of 835042680 is 86240538.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123795 + ... + 130365.

Almost surely, 2835042680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 835042680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360995480).

835042680 is an abundant number, since it is smaller than the sum of its proper divisors (1886948280).

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

835042680 is a wasteful number, since it uses less digits than its factorization.

835042680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6941 (or 6934 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 835042680 is about 28897.1050453155. The cubic root of 835042680 is about 941.6790121684.

The spelling of 835042680 in words is "eight hundred thirty-five million, forty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 353 360 706 1059 1412 1765 2118 2824 3177 3530 4236 5295 6354 6571 7060 8472 10590 12708 13142 14120 15885 19713 21180 25416 26284 31770 32855 39426 42360 52568 59139 63540 65710 78852 98565 118278 127080 131420 157704 197130 236556 262840 295695 394260 473112 591390 788520 1182780 2319563 2365560 4639126 6958689 9278252 11597815 13917378 18556504 20876067 23195630 27834756 34793445 41752134 46391260 55669512 69586890 83504268 92782520 104380335 139173780 167008536 208760670 278347560 417521340 835042680