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193132134 = 23313594663
BaseRepresentation
bin10111000001011…
…11011001100110
3111110102010111000
423200233121212
5343420212014
631055254130
74533411306
oct1340573146
9443363430
10193132134
119a022038
125481a346
1331021290
141b915606
1511e4e509
hexb82f666

193132134 has 64 divisors (see below), whose sum is σ = 470131200. Its totient is φ = 58405536.

The previous prime is 193132117. The next prime is 193132151. The reversal of 193132134 is 431231391.

It is an interprime number because it is at equal distance from previous prime (193132117) and next prime (193132151).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 193132098 and 193132107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39087 + ... + 43749.

It is an arithmetic number, because the mean of its divisors is an integer number (7345800).

Almost surely, 2193132134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193132134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235065600).

193132134 is an abundant number, since it is smaller than the sum of its proper divisors (276999066).

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

193132134 is a wasteful number, since it uses less digits than its factorization.

193132134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4746 (or 4740 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 193132134 is about 13897.1987824885. The cubic root of 193132134 is about 578.0315093194.

The spelling of 193132134 in words is "one hundred ninety-three million, one hundred thirty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 59 78 117 118 177 234 351 354 531 702 767 1062 1534 1593 2301 3186 4602 4663 6903 9326 13806 13989 20709 27978 41418 41967 60619 83934 121238 125901 181857 251802 275117 363714 545571 550234 825351 1091142 1636713 1650702 2476053 3273426 3576521 4952106 7153042 7428159 10729563 14856318 21459126 32188689 64377378 96566067 193132134