Search a number
-
+
8000694 = 2341329131
BaseRepresentation
bin11110100001010010110110
3120001110220000
4132201102312
54022010234
6443252130
7125001432
oct36412266
916043800
108000694
114575049
12281a046
131871850
1410c39c2
15a80899
hex7a14b6

8000694 has 80 divisors (see below), whose sum is σ = 20124720. Its totient is φ = 2358720.

The previous prime is 8000689. The next prime is 8000719. The reversal of 8000694 is 4960008.

It is a super-2 number, since 2×80006942 = 128022208963272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61009 + ... + 61139.

It is an arithmetic number, because the mean of its divisors is an integer number (251559).

Almost surely, 28000694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8000694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10062360).

8000694 is an abundant number, since it is smaller than the sum of its proper divisors (12124026).

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

8000694 is a wasteful number, since it uses less digits than its factorization.

8000694 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8000694 is about 2828.5498051122. The cubic root of 8000694 is about 200.0057831661.

The spelling of 8000694 in words is "eight million, six hundred ninety-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 81 87 117 131 162 174 234 261 262 351 377 393 522 702 754 783 786 1053 1131 1179 1566 1703 2106 2262 2349 2358 3393 3406 3537 3799 4698 5109 6786 7074 7598 10179 10218 10611 11397 15327 20358 21222 22794 30537 30654 34191 45981 49387 61074 68382 91962 98774 102573 137943 148161 205146 275886 296322 307719 444483 615438 888966 1333449 2666898 4000347 8000694