Search a number
-
+
680653692 = 22351136197
BaseRepresentation
bin101000100100011…
…111001101111100
31202102202210100000
4220210133031330
52343221404232
6151312434300
722603314045
oct5044371574
91672683300
10680653692
1131a236214
1216bb48990
13ab027684
146657d8cc
153eb5027c
hex2891f37c

680653692 has 72 divisors (see below), whose sum is σ = 1800345456. Its totient is φ = 224840448.

The previous prime is 680653681. The next prime is 680653709. The reversal of 680653692 is 296356086.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106738 + ... + 112934.

It is an arithmetic number, because the mean of its divisors is an integer number (25004798).

Almost surely, 2680653692 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 680653692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900172728).

680653692 is an abundant number, since it is smaller than the sum of its proper divisors (1119691764).

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

680653692 is a wasteful number, since it uses less digits than its factorization.

680653692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6329 (or 6315 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 680653692 is about 26089.3405819312. The cubic root of 680653692 is about 879.6476257926.

The spelling of 680653692 in words is "six hundred eighty million, six hundred fifty-three thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 243 324 339 452 486 678 972 1017 1356 2034 3051 4068 6102 6197 9153 12204 12394 18306 18591 24788 27459 36612 37182 54918 55773 74364 109836 111546 167319 223092 334638 501957 669276 700261 1003914 1400522 1505871 2007828 2100783 2801044 3011742 4201566 6023484 6302349 8403132 12604698 18907047 25209396 37814094 56721141 75628188 113442282 170163423 226884564 340326846 680653692