Search a number
-
+
677074640 = 245111745259
BaseRepresentation
bin101000010110110…
…101011011010000
31202012000221210112
4220112311123100
52341312342030
6151104020452
722531016354
oct5026653320
91665027715
10677074640
11318211220
1216a901728
13aa3735a8
1465ccb464
153e694a95
hex285b56d0

677074640 has 80 divisors (see below), whose sum is σ = 1818365760. Its totient is φ = 231720960.

The previous prime is 677074631. The next prime is 677074649. The reversal of 677074640 is 46470776.

It is an interprime number because it is at equal distance from previous prime (677074631) and next prime (677074649).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×6770746402 = 916860136262259200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677074649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7670 + ... + 37589.

It is an arithmetic number, because the mean of its divisors is an integer number (22729572).

Almost surely, 2677074640 is an apocalyptic number.

It is an amenable number.

677074640 is an abundant number, since it is smaller than the sum of its proper divisors (1141291120).

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

677074640 is a wasteful number, since it uses less digits than its factorization.

677074640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45300 (or 45294 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 41.

The square root of 677074640 is about 26020.6579471004. The cubic root of 677074640 is about 878.1031110580.

It can be divided in two parts, 67 and 7074640, that added together give a palindrome (7074707).

The spelling of 677074640 in words is "six hundred seventy-seven million, seventy-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 7480 14960 45259 90518 181036 226295 362072 452590 497849 724144 769403 905180 995698 1538806 1810360 1991396 2489245 3077612 3620720 3847015 3982792 4978490 6155224 7694030 7965584 8463433 9956980 12310448 15388060 16926866 19913960 30776120 33853732 39827920 42317165 61552240 67707464 84634330 135414928 169268660 338537320 677074640