Search a number
-
+
1693906920 = 233254705297
BaseRepresentation
bin110010011110110…
…1111011111101000
311101001101101110100
41210331233133220
511432120010140
6440030145400
756655654066
oct14475573750
94331341410
101693906920
1179a191382
123b3352260
1320cc250b4
14120d7b036
159da9d530
hex64f6f7e8

1693906920 has 48 divisors (see below), whose sum is σ = 5505198660. Its totient is φ = 451708416.

The previous prime is 1693906919. The next prime is 1693906927. The reversal of 1693906920 is 296093961.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1624251204 + 69655716 = 40302^2 + 8346^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1693906927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2352289 + ... + 2353008.

Almost surely, 21693906920 is an apocalyptic number.

1693906920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1693906920 is an abundant number, since it is smaller than the sum of its proper divisors (3811291740).

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

1693906920 is a wasteful number, since it uses less digits than its factorization.

1693906920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4705314 (or 4705307 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 1693906920 is about 41157.1004809620. The cubic root of 1693906920 is about 1192.0556048862.

The spelling of 1693906920 in words is "one billion, six hundred ninety-three million, nine hundred six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 4705297 9410594 14115891 18821188 23526485 28231782 37642376 42347673 47052970 56463564 70579455 84695346 94105940 112927128 141158910 169390692 188211880 211738365 282317820 338781384 423476730 564635640 846953460 1693906920