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997021620 = 2232572113041
BaseRepresentation
bin111011011011010…
…101011110110100
32120111001221112200
4323123111132310
54020214142440
6242533344500
733464354400
oct7333253664
92514057480
10997021620
1147187a111
12239a98130
1312b73662a
14965b4100
155c7e3c30
hex3b6d57b4

997021620 has 108 divisors (see below), whose sum is σ = 3518093124. Its totient is φ = 227888640.

The previous prime is 997021609. The next prime is 997021639. The reversal of 997021620 is 26120799.

997021620 is a `hidden beast` number, since 9 + 9 + 7 + 0 + 21 + 620 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 518199696 + 478821924 = 22764^2 + 21882^2 .

It is a super-2 number, since 2×9970216202 = 1988104221494848800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 47701 + ... + 65340.

Almost surely, 2997021620 is an apocalyptic number.

997021620 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

997021620 is an abundant number, since it is smaller than the sum of its proper divisors (2521071504).

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

997021620 is a wasteful number, since it uses less digits than its factorization.

997021620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113070 (or 113058 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 997021620 is about 31575.6491619729. The cubic root of 997021620 is about 999.0062193939.

The spelling of 997021620 in words is "nine hundred ninety-seven million, twenty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 113041 226082 339123 452164 565205 678246 791287 1017369 1130410 1356492 1582574 1695615 2034738 2260820 2373861 3165148 3391230 3956435 4069476 4747722 5086845 5539009 6782460 7121583 7912870 9495444 10173690 11078018 11869305 14243166 15825740 16617027 20347380 22156036 23738610 27695045 28486332 33234054 35607915 47477220 49851081 55390090 66468108 71215830 83085135 99702162 110780180 142431660 166170270 199404324 249255405 332340540 498510810 997021620