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997667260 = 225372395641
BaseRepresentation
bin111011011101110…
…011000110111100
32120112021202012021
4323131303012330
54020400323020
6242555245524
733503013622
oct7335630674
92515252167
10997667260
114721801a7
1223a1498a4
1312b901475
1496701512
155c8c01aa
hex3b7731bc

997667260 has 48 divisors (see below), whose sum is σ = 2161111680. Its totient is φ = 386588160.

The previous prime is 997667239. The next prime is 997667267. The reversal of 997667260 is 62766799.

It is a junction number, because it is equal to n+sod(n) for n = 997667198 and 997667207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997667267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174040 + ... + 179680.

It is an arithmetic number, because the mean of its divisors is an integer number (45023160).

Almost surely, 2997667260 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 997667260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080555840).

997667260 is an abundant number, since it is smaller than the sum of its proper divisors (1163444420).

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

997667260 is a wasteful number, since it uses less digits than its factorization.

997667260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5926 (or 5924 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 52.

The square root of 997667260 is about 31585.8712085008. The cubic root of 997667260 is about 999.2218145845.

The spelling of 997667260 in words is "nine hundred ninety-seven million, six hundred sixty-seven thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 37 74 148 185 239 370 478 740 956 1195 2390 4780 5641 8843 11282 17686 22564 28205 35372 44215 56410 88430 112820 176860 208717 417434 834868 1043585 1348199 2087170 2696398 4174340 5392796 6740995 13481990 26963980 49883363 99766726 199533452 249416815 498833630 997667260