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197765540 = 22579714563
BaseRepresentation
bin10111100100110…
…10100110100100
3111210010112022122
423302122212210
5401111444130
631342445112
74620656630
oct1362324644
9453115278
10197765540
11a16a71a5
1256293798
1331c8423b
141c39ddc0
15125672e5
hexbc9a9a4

197765540 has 48 divisors (see below), whose sum is σ = 479563392. Its totient is φ = 67101696.

The previous prime is 197765531. The next prime is 197765563. The reversal of 197765540 is 45567791.

197765540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1977655402 = 78222417622983200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 197765491 and 197765500.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6299 + ... + 20861.

It is an arithmetic number, because the mean of its divisors is an integer number (9990904).

Almost surely, 2197765540 is an apocalyptic number.

197765540 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 197765540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239781696).

197765540 is an abundant number, since it is smaller than the sum of its proper divisors (281797852).

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

197765540 is a wasteful number, since it uses less digits than its factorization.

197765540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14676 (or 14674 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 44.

The square root of 197765540 is about 14062.9136383610. The cubic root of 197765540 is about 582.6175194376.

The spelling of 197765540 in words is "one hundred ninety-seven million, seven hundred sixty-five thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 97 140 194 388 485 679 970 1358 1940 2716 3395 6790 13580 14563 29126 58252 72815 101941 145630 203882 291260 407764 509705 1019410 1412611 2038820 2825222 5650444 7063055 9888277 14126110 19776554 28252220 39553108 49441385 98882770 197765540