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997211320 = 235721116879
BaseRepresentation
bin111011011100000…
…011110010111000
32120111102120202121
4323130003302320
54020241230240
6242541411024
733466104430
oct7334036270
92514376677
10997211320
11471999696
12239b69a74
1312b7a1a91
14966232c0
155c83004a
hex3b703cb8

997211320 has 64 divisors (see below), whose sum is σ = 2576563200. Its totient is φ = 340260480.

The previous prime is 997211297. The next prime is 997211329. The reversal of 997211320 is 23112799.

It is a happy number.

It is a super-2 number, since 2×9972113202 = 1988860833472284800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997211329) 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, 50641 + ... + 67519.

It is an arithmetic number, because the mean of its divisors is an integer number (40258800).

Almost surely, 2997211320 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 997211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288281600).

997211320 is an abundant number, since it is smaller than the sum of its proper divisors (1579351880).

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

997211320 is a wasteful number, since it uses less digits than its factorization.

997211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17108 (or 17104 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 997211320 is about 31578.6529161711. The cubic root of 997211320 is about 999.0695745770.

The spelling of 997211320 in words is "nine hundred ninety-seven million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 211 280 422 844 1055 1477 1688 2110 2954 4220 5908 7385 8440 11816 14770 16879 29540 33758 59080 67516 84395 118153 135032 168790 236306 337580 472612 590765 675160 945224 1181530 2363060 3561469 4726120 7122938 14245876 17807345 24930283 28491752 35614690 49860566 71229380 99721132 124651415 142458760 199442264 249302830 498605660 997211320