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9797940 = 22325291877
BaseRepresentation
bin100101011000…
…000100110100
3200102210020200
4211120010310
510002013230
6550000500
7146165265
oct45300464
920383220
109797940
115592379
123346130
1320508c9
14143096c
15cd8160
hex958134

9797940 has 72 divisors (see below), whose sum is σ = 30761640. Its totient is φ = 2521344.

The previous prime is 9797917. The next prime is 9797959. The reversal of 9797940 is 497979.

It can be written as a sum of positive squares in 4 ways, for example, as 1468944 + 8328996 = 1212^2 + 2886^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4282 + ... + 6158.

It is an arithmetic number, because the mean of its divisors is an integer number (427245).

Almost surely, 29797940 is an apocalyptic number.

9797940 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 9797940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15380820).

9797940 is an abundant number, since it is smaller than the sum of its proper divisors (20963700).

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

9797940 is a wasteful number, since it uses less digits than its factorization.

9797940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 9797940 is about 3130.1661297765. The cubic root of 9797940 is about 213.9825006799.

The spelling of 9797940 in words is "nine million, seven hundred ninety-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 1877 2610 3754 5220 5631 7508 9385 11262 16893 18770 22524 28155 33786 37540 54433 56310 67572 84465 108866 112620 163299 168930 217732 272165 326598 337860 489897 544330 653196 816495 979794 1088660 1632990 1959588 2449485 3265980 4898970 9797940