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997740 = 2232523241
BaseRepresentation
bin11110011100101101100
31212200122100
43303211230
5223411430
633215100
711323602
oct3634554
91780570
10997740
11621687
12401490
1328c1a3
141bd872
1514a960
hexf396c

997740 has 72 divisors (see below), whose sum is σ = 3171168. Its totient is φ = 253440.

The previous prime is 997739. The next prime is 997741. The reversal of 997740 is 47799.

It is an interprime number because it is at equal distance from previous prime (997739) and next prime (997741).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 997695 and 997704.

It is not an unprimeable number, because it can be changed into a prime (997741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4020 + ... + 4260.

It is an arithmetic number, because the mean of its divisors is an integer number (44044).

2997740 is an apocalyptic number.

997740 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585584).

997740 is an abundant number, since it is smaller than the sum of its proper divisors (2173428).

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

997740 is a wasteful number, since it uses less digits than its factorization.

997740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 997740 is about 998.8693608275. The cubic root of 997740 is about 99.9246098442.

The spelling of 997740 in words is "nine hundred ninety-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 241 276 345 414 460 482 690 723 828 964 1035 1205 1380 1446 2070 2169 2410 2892 3615 4140 4338 4820 5543 7230 8676 10845 11086 14460 16629 21690 22172 27715 33258 43380 49887 55430 66516 83145 99774 110860 166290 199548 249435 332580 498870 997740