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194975040 = 26351317919
BaseRepresentation
bin10111001111100…
…01010101000000
3111120212202110210
423213301111000
5344403200130
631202554120
74555155231
oct1347612500
9446782423
10194975040
11a00706a7
1255368940
1331518060
141bc75088
15121b55b0
hexb9f1540

194975040 has 224 divisors, whose sum is σ = 706648320. Its totient is φ = 45121536.

The previous prime is 194975021. The next prime is 194975041. The reversal of 194975040 is 40579491.

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

It is a self number, because there is not a number n which added to its sum of digits gives 194975040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194975041) by changing a digit.

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, 211701 + ... + 212619.

It is an arithmetic number, because the mean of its divisors is an integer number (3154680).

Almost surely, 2194975040 is an apocalyptic number.

194975040 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 194975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353324160).

194975040 is an abundant number, since it is smaller than the sum of its proper divisors (511673280).

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

194975040 is a wasteful number, since it uses less digits than its factorization.

194975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 194975040 is about 13963.3463038055. The cubic root of 194975040 is about 579.8642567785.

The spelling of 194975040 in words is "one hundred ninety-four million, nine hundred seventy-five thousand, forty".