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677691840 = 26357100847
BaseRepresentation
bin101000011001001…
…100000111000000
31202020012022102210
4220121030013000
52341442114330
6151125142120
722536166650
oct5031140700
91666168383
10677691840
113185a2a01
1216ab5a940
13aa52b4b7
146600c360
153e7678b0
hex2864c1c0

677691840 has 112 divisors (see below), whose sum is σ = 2459077632. Its totient is φ = 154899456.

The previous prime is 677691811. The next prime is 677691841. The reversal of 677691840 is 48196776.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 677691840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677691841) 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, 43704 + ... + 57143.

Almost surely, 2677691840 is an apocalyptic number.

677691840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

677691840 is an abundant number, since it is smaller than the sum of its proper divisors (1781385792).

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

677691840 is a wasteful number, since it uses less digits than its factorization.

677691840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100874 (or 100864 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 677691840 is about 26032.5150532944. The cubic root of 677691840 is about 878.3698471075.

The spelling of 677691840 in words is "six hundred seventy-seven million, six hundred ninety-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 100847 201694 302541 403388 504235 605082 705929 806776 1008470 1210164 1411858 1512705 1613552 2016940 2117787 2420328 2823716 3025410 3227104 3529645 4033880 4235574 4840656 5647432 6050820 6454208 7059290 8067760 8471148 9681312 10588935 11294864 12101640 14118580 16135520 16942296 19362624 21177870 22589728 24203280 28237160 32271040 33884592 42355740 45179456 48406560 56474320 67769184 84711480 96813120 112948640 135538368 169422960 225897280 338845920 677691840