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997000680 = 2335131933637
BaseRepresentation
bin111011011011010…
…000010111101000
32120111000212211010
4323123100113220
54020213010210
6242533103520
733464236344
oct7333202750
92514025733
10997000680
11471865405
12239a87ba0
1312b729c40
14965aa624
155c7dc920
hex3b6d05e8

997000680 has 128 divisors (see below), whose sum is σ = 3390710400. Its totient is φ = 232492032.

The previous prime is 997000679. The next prime is 997000681. The reversal of 997000680 is 86000799.

It is an interprime number because it is at equal distance from previous prime (997000679) and next prime (997000681).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (997000681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12822 + ... + 46458.

It is an arithmetic number, because the mean of its divisors is an integer number (26489925).

Almost surely, 2997000680 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 997000680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695355200).

997000680 is an abundant number, since it is smaller than the sum of its proper divisors (2393709720).

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

997000680 is a wasteful number, since it uses less digits than its factorization.

997000680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33683 (or 33679 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 997000680 is about 31575.3175756001. The cubic root of 997000680 is about 998.9992254511. Note that the first 3 decimals are identical.

The spelling of 997000680 in words is "nine hundred ninety-seven million, six hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 13 15 19 20 24 26 30 38 39 40 52 57 60 65 76 78 95 104 114 120 130 152 156 190 195 228 247 260 285 312 380 390 456 494 520 570 741 760 780 988 1140 1235 1482 1560 1976 2280 2470 2964 3705 4940 5928 7410 9880 14820 29640 33637 67274 100911 134548 168185 201822 269096 336370 403644 437281 504555 639103 672740 807288 874562 1009110 1278206 1311843 1345480 1749124 1917309 2018220 2186405 2556412 2623686 3195515 3498248 3834618 4036440 4372810 5112824 5247372 6391030 6559215 7669236 8308339 8745620 9586545 10494744 12782060 13118430 15338472 16616678 17491240 19173090 24925017 25564120 26236860 33233356 38346180 41541695 49850034 52473720 66466712 76692360 83083390 99700068 124625085 166166780 199400136 249250170 332333560 498500340 997000680