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2187452340 = 2232512152513
BaseRepresentation
bin1000001001100001…
…1101111110110100
312122110002002111100
42002120131332310
513434441433330
61001020410100
7105131016033
oct20230357664
95573062440
102187452340
11a2283a357
125106a6930
1328b25a2c8
1416a73271a
15cc08e060
hex8261dfb4

2187452340 has 36 divisors (see below), whose sum is σ = 6635272644. Its totient is φ = 583320576.

The previous prime is 2187452299. The next prime is 2187452359. The reversal of 2187452340 is 432547812.

It is a happy number.

2187452340 is a `hidden beast` number, since 21 + 8 + 74 + 523 + 40 = 666.

2187452340 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 821854224 + 1365598116 = 28668^2 + 36954^2 .

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 junction number, because it is equal to n+sod(n) for n = 2187452295 and 2187452304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6076077 + ... + 6076436.

It is an arithmetic number, because the mean of its divisors is an integer number (184313129).

Almost surely, 22187452340 is an apocalyptic number.

2187452340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2187452340 is an abundant number, since it is smaller than the sum of its proper divisors (4447820304).

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

2187452340 is a wasteful number, since it uses less digits than its factorization.

2187452340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12152528 (or 12152523 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2187452340 is about 46770.2078250674. The cubic root of 2187452340 is about 1298.1140978031.

The spelling of 2187452340 in words is "two billion, one hundred eighty-seven million, four hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12152513 24305026 36457539 48610052 60762565 72915078 109372617 121525130 145830156 182287695 218745234 243050260 364575390 437490468 546863085 729150780 1093726170 2187452340