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2134088820 = 2232511856049
BaseRepresentation
bin111111100110011…
…1001110001110100
312111201122221111200
41333030321301310
513332311320240
6551432532500
7103612312203
oct17714716164
95451587450
102134088820
119a5701576
124b6851130
13280194c66
1416360123a
15c754c930
hex7f339c74

2134088820 has 36 divisors (see below), whose sum is σ = 6473403300. Its totient is φ = 569090304.

The previous prime is 2134088809. The next prime is 2134088837. The reversal of 2134088820 is 288804312.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1340877924 + 793210896 = 36618^2 + 28164^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5927845 + ... + 5928204.

Almost surely, 22134088820 is an apocalyptic number.

2134088820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134088820 is an abundant number, since it is smaller than the sum of its proper divisors (4339314480).

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

2134088820 is a wasteful number, since it uses less digits than its factorization.

2134088820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11856064 (or 11856059 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2134088820 is about 46196.1991943060. The cubic root of 2134088820 is about 1287.4711228638.

The spelling of 2134088820 in words is "two billion, one hundred thirty-four million, eighty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11856049 23712098 35568147 47424196 59280245 71136294 106704441 118560490 142272588 177840735 213408882 237120980 355681470 426817764 533522205 711362940 1067044410 2134088820