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697860020 = 2251113231032
BaseRepresentation
bin101001100110000…
…111111110110100
31210122010221222102
4221212013332310
52412123010040
6153125321232
723202466214
oct5146077664
91718127872
10697860020
11328a18620
12175866218
13b1770330
146897c244
15413ed515
hex29987fb4

697860020 has 144 divisors (see below), whose sum is σ = 1814182272. Its totient is φ = 221886720.

The previous prime is 697860019. The next prime is 697860067. The reversal of 697860020 is 20068796.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6775289 + ... + 6775391.

It is an arithmetic number, because the mean of its divisors is an integer number (12598488).

Almost surely, 2697860020 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 697860020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907091136).

697860020 is an abundant number, since it is smaller than the sum of its proper divisors (1116322252).

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

697860020 is a wasteful number, since it uses less digits than its factorization.

697860020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 697860020 is about 26417.0403338451. The cubic root of 697860020 is about 886.9982701369.

The spelling of 697860020 in words is "six hundred ninety-seven million, eight hundred sixty thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 23 26 44 46 52 55 65 92 103 110 115 130 143 206 220 230 253 260 286 299 412 460 506 515 572 598 715 1012 1030 1133 1196 1265 1339 1430 1495 2060 2266 2369 2530 2678 2860 2990 3289 4532 4738 5060 5356 5665 5980 6578 6695 9476 10609 11330 11845 13156 13390 14729 16445 21218 22660 23690 26059 26780 29458 30797 32890 42436 47380 52118 53045 58916 61594 65780 73645 104236 106090 116699 123188 130295 137917 147290 153985 212180 233398 244007 260590 275834 294580 307970 338767 466796 488014 521180 551668 583495 615940 677534 689585 976028 1166990 1220035 1355068 1379170 1517087 1693835 2333980 2440070 2684077 2758340 3034174 3172091 3387670 4880140 5368154 6068348 6344182 6775340 7585435 10736308 12688364 13420385 15170870 15860455 26840770 30341740 31720910 34893001 53681540 63441820 69786002 139572004 174465005 348930010 697860020