Search a number
-
+
193109532 = 223711208993
BaseRepresentation
bin10111000001010…
…01111000011100
3111110100222110220
423200221320130
5343414001112
631055001340
74533255360
oct1340517034
9443328426
10193109532
119a007060
1254809250
1331013bc5
141b90b2a0
1511e4798c
hexb829e1c

193109532 has 48 divisors (see below), whose sum is σ = 561775872. Its totient is φ = 50158080.

The previous prime is 193109531. The next prime is 193109533. The reversal of 193109532 is 235901391.

It is an interprime number because it is at equal distance from previous prime (193109531) and next prime (193109533).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 193109493 and 193109502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193109531) 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 15 ways as a sum of consecutive naturals, for example, 103573 + ... + 105420.

It is an arithmetic number, because the mean of its divisors is an integer number (11703664).

Almost surely, 2193109532 is an apocalyptic number.

193109532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

193109532 is an abundant number, since it is smaller than the sum of its proper divisors (368666340).

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

193109532 is a wasteful number, since it uses less digits than its factorization.

193109532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209018 (or 209016 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 33.

The square root of 193109532 is about 13896.3855732345. The cubic root of 193109532 is about 578.0089596836.

The spelling of 193109532 in words is "one hundred ninety-three million, one hundred nine thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 208993 417986 626979 835972 1253958 1462951 2298923 2507916 2925902 4388853 4597846 5851804 6896769 8777706 9195692 13793538 16092461 17555412 27587076 32184922 48277383 64369844 96554766 193109532