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1697985120 = 2535132311831
BaseRepresentation
bin110010100110101…
…0011001001100000
311101100001120200210
41211031103021200
511434141010440
6440253414120
760035430636
oct14515231140
94340046623
101697985120
117a1517397
123b479a340
13210a22430
1412171d356
159e106a80
hex65353260

1697985120 has 192 divisors, whose sum is σ = 6011034624. Its totient is φ = 399759360.

The previous prime is 1697985101. The next prime is 1697985151. The reversal of 1697985120 is 215897961.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1697985120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137605 + ... + 149435.

It is an arithmetic number, because the mean of its divisors is an integer number (31307472).

Almost surely, 21697985120 is an apocalyptic number.

1697985120 is a gapful number since it is divisible by the number (10) 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 1697985120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005517312).

1697985120 is an abundant number, since it is smaller than the sum of its proper divisors (4313049504).

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

1697985120 is a wasteful number, since it uses less digits than its factorization.

1697985120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11885 (or 11877 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 48.

The square root of 1697985120 is about 41206.6150029337. The cubic root of 1697985120 is about 1193.0114907341.

The spelling of 1697985120 in words is "one billion, six hundred ninety-seven million, nine hundred eighty-five thousand, one hundred twenty".