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197015040 = 2932517503
BaseRepresentation
bin10111011111000…
…11011000000000
3111201201101211100
423233203120000
5400413440130
631314414400
74611412605
oct1357433000
9451641740
10197015040
11a1234352
1255b91400
1331a80761
141c2466ac
1512469c60
hexbbe3600

197015040 has 240 divisors, whose sum is σ = 723891168. Its totient is φ = 49348608.

The previous prime is 197015017. The next prime is 197015053. The reversal of 197015040 is 40510791.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 197014995 and 197015013.

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 23 ways as a sum of consecutive naturals, for example, 391429 + ... + 391931.

Almost surely, 2197015040 is an apocalyptic number.

197015040 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 197015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361945584).

197015040 is an abundant number, since it is smaller than the sum of its proper divisors (526876128).

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

197015040 is a wasteful number, since it uses less digits than its factorization.

197015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 197015040 is about 14036.2046152085. The cubic root of 197015040 is about 581.8795938964.

The spelling of 197015040 in words is "one hundred ninety-seven million, fifteen thousand, forty".