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193371420 = 2235112910103
BaseRepresentation
bin10111000011010…
…01110100011100
3111110212021201110
423201221310130
5344000341140
631104342020
74535426034
oct1341516434
9443767643
10193371420
119a1758a0
1254914910
13310a6178
141b9788c4
1511e9a380
hexb869d1c

193371420 has 96 divisors (see below), whose sum is σ = 611089920. Its totient is φ = 45256960.

The previous prime is 193371371. The next prime is 193371421. The reversal of 193371420 is 24173391.

193371420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193371421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14089 + ... + 24191.

It is an arithmetic number, because the mean of its divisors is an integer number (6365520).

Almost surely, 2193371420 is an apocalyptic number.

193371420 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 193371420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305544960).

193371420 is an abundant number, since it is smaller than the sum of its proper divisors (417718500).

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

193371420 is a wasteful number, since it uses less digits than its factorization.

193371420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10155 (or 10153 counting only the distinct ones).

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

The square root of 193371420 is about 13905.8052625513. The cubic root of 193371420 is about 578.2701331073.

The spelling of 193371420 in words is "one hundred ninety-three million, three hundred seventy-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 110 116 132 145 165 174 220 290 319 330 348 435 580 638 660 870 957 1276 1595 1740 1914 3190 3828 4785 6380 9570 10103 19140 20206 30309 40412 50515 60618 101030 111133 121236 151545 202060 222266 292987 303090 333399 444532 555665 585974 606180 666798 878961 1111330 1171948 1333596 1464935 1666995 1757922 2222660 2929870 3222857 3333990 3515844 4394805 5859740 6445714 6667980 8789610 9668571 12891428 16114285 17579220 19337142 32228570 38674284 48342855 64457140 96685710 193371420