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193372140 = 223513247913
BaseRepresentation
bin10111000011010…
…01111111101100
3111110212022201010
423201221333230
5344000402030
631104345220
74535431113
oct1341517754
9443768633
10193372140
119a176395
1254915210
13310a65b0
141b978c7a
1511e9a6b0
hexb869fec

193372140 has 48 divisors (see below), whose sum is σ = 583093728. Its totient is φ = 47599104.

The previous prime is 193372133. The next prime is 193372159. The reversal of 193372140 is 41273391.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 193372098 and 193372107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123177 + ... + 124736.

It is an arithmetic number, because the mean of its divisors is an integer number (12147786).

Almost surely, 2193372140 is an apocalyptic number.

193372140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

193372140 is an abundant number, since it is smaller than the sum of its proper divisors (389721588).

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

193372140 is a wasteful number, since it uses less digits than its factorization.

193372140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247938 (or 247936 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 193372140 is about 13905.8311509956. The cubic root of 193372140 is about 578.2708508176.

The spelling of 193372140 in words is "one hundred ninety-three million, three hundred seventy-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 247913 495826 743739 991652 1239565 1487478 2479130 2974956 3222869 3718695 4958260 6445738 7437390 9668607 12891476 14874780 16114345 19337214 32228690 38674428 48343035 64457380 96686070 193372140