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197465040 = 2434531983
BaseRepresentation
bin10111100010100…
…01001111010000
3111202120021010000
423301101033100
5401022340130
631332210000
74615265553
oct1361211720
9452507100
10197465040
11a1511453
1256169900
1331baa526
141c32269a
1512508260
hexbc513d0

197465040 has 200 divisors, whose sum is σ = 708668928. Its totient is φ = 50906880.

The previous prime is 197465029. The next prime is 197465053. The reversal of 197465040 is 40564791.

197465040 is a `hidden beast` number, since 197 + 465 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 197464986 and 197465004.

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 39 ways as a sum of consecutive naturals, for example, 200389 + ... + 201371.

Almost surely, 2197465040 is an apocalyptic number.

197465040 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 197465040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354334464).

197465040 is an abundant number, since it is smaller than the sum of its proper divisors (511203888).

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

197465040 is a wasteful number, since it uses less digits than its factorization.

197465040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 197465040 is about 14052.2254465263. The cubic root of 197465040 is about 582.3222787291.

The spelling of 197465040 in words is "one hundred ninety-seven million, four hundred sixty-five thousand, forty".