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193730020 = 225111675273
BaseRepresentation
bin10111000110000…
…01010111100100
3111111112111121221
423203001113210
5344043330040
631120150124
74541451361
oct1343012744
9444474557
10193730020
119a3a0260
1254a68344
13311a0463
141ba2d468
151201b74a
hexb8c15e4

193730020 has 48 divisors (see below), whose sum is σ = 446560128. Its totient is φ = 70012160.

The previous prime is 193729973. The next prime is 193730021. The reversal of 193730020 is 20037391.

It is not an unprimeable number, because it can be changed into a prime (193730021) 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, 34104 + ... + 39376.

It is an arithmetic number, because the mean of its divisors is an integer number (9303336).

Almost surely, 2193730020 is an apocalyptic number.

193730020 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 193730020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223280064).

193730020 is an abundant number, since it is smaller than the sum of its proper divisors (252830108).

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

193730020 is a wasteful number, since it uses less digits than its factorization.

193730020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5460 (or 5458 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 193730020 is about 13918.6931857844. The cubic root of 193730020 is about 578.6273724147.

The spelling of 193730020 in words is "one hundred ninety-three million, seven hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 167 220 334 668 835 1670 1837 3340 3674 5273 7348 9185 10546 18370 21092 26365 36740 52730 58003 105460 116006 232012 290015 580030 880591 1160060 1761182 3522364 4402955 8805910 9686501 17611820 19373002 38746004 48432505 96865010 193730020