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193286940 = 22357111723107
BaseRepresentation
bin10111000010101…
…01001100011100
3111110200222211120
423201111030130
5343440140230
631102450540
74534624530
oct1341251434
9443628746
10193286940
119a118380
1254893a50
1331076892
141b955bc0
1511e80310
hexb85531c

193286940 has 384 divisors, whose sum is σ = 752467968. Its totient is φ = 35819520.

The previous prime is 193286911. The next prime is 193286941. The reversal of 193286940 is 49682391.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 193286892 and 193286901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193286941) 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 127 ways as a sum of consecutive naturals, for example, 1806367 + ... + 1806473.

It is an arithmetic number, because the mean of its divisors is an integer number (1959552).

Almost surely, 2193286940 is an apocalyptic number.

193286940 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 193286940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376233984).

193286940 is an abundant number, since it is smaller than the sum of its proper divisors (559181028).

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

193286940 is a wasteful number, since it uses less digits than its factorization.

193286940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 193286940 is about 13902.7673504234. The cubic root of 193286940 is about 578.1859093946.

The spelling of 193286940 in words is "one hundred ninety-three million, two hundred eighty-six thousand, nine hundred forty".