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681980772 = 2231117793847
BaseRepresentation
bin101000101001100…
…011001101100100
31202112021012202010
4220221203031210
52344041341042
6151401114220
722620512064
oct5051431544
91675235663
10681980772
1131aa62280
12170488970
13ab3a0725
14668073a4
153ed1359c
hex28a63364

681980772 has 96 divisors (see below), whose sum is σ = 1861816320. Its totient is φ = 191992320.

The previous prime is 681980759. The next prime is 681980777. The reversal of 681980772 is 277089186.

It is not an unprimeable number, because it can be changed into a prime (681980777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175353 + ... + 179199.

It is an arithmetic number, because the mean of its divisors is an integer number (19393920).

Almost surely, 2681980772 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 681980772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930908160).

681980772 is an abundant number, since it is smaller than the sum of its proper divisors (1179835548).

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

681980772 is a wasteful number, since it uses less digits than its factorization.

681980772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The square root of 681980772 is about 26114.7615727197. The cubic root of 681980772 is about 880.2189417355.

The spelling of 681980772 in words is "six hundred eighty-one million, nine hundred eighty thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 79 102 132 158 187 204 237 316 374 474 561 748 869 948 1122 1343 1738 2244 2607 2686 3476 3847 4029 5214 5372 7694 8058 10428 11541 14773 15388 16116 23082 29546 42317 44319 46164 59092 65399 84634 88638 126951 130798 169268 177276 196197 253902 261596 303913 392394 507804 607826 719389 784788 911739 1215652 1438778 1823478 2158167 2877556 3343043 3646956 4316334 5166521 6686086 8632668 10029129 10333042 13372172 15499563 20058258 20666084 30999126 40116516 56831731 61998252 113663462 170495193 227326924 340990386 681980772