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2153873340 = 2232511965963
BaseRepresentation
bin1000000001100001…
…0111111110111100
312120002220002202200
42000120113332330
513402342421330
6553420551500
7104242423053
oct20030277674
95502802680
102153873340
11a05894a13
125013b2590
13284301288
141660b139a
15c9159a60
hex80617fbc

2153873340 has 36 divisors (see below), whose sum is σ = 6533416344. Its totient is φ = 574366176.

The previous prime is 2153873291. The next prime is 2153873347. The reversal of 2153873340 is 433783512.

2153873340 is a `hidden beast` number, since 21 + 538 + 73 + 34 + 0 = 666.

2153873340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 2153873295 and 2153873304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153873347) 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, 5982802 + ... + 5983161.

Almost surely, 22153873340 is an apocalyptic number.

2153873340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2153873340 is an abundant number, since it is smaller than the sum of its proper divisors (4379543004).

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

2153873340 is a wasteful number, since it uses less digits than its factorization.

2153873340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11965978 (or 11965973 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2153873340 is about 46409.8409822744. The cubic root of 2153873340 is about 1291.4374817700.

The spelling of 2153873340 in words is "two billion, one hundred fifty-three million, eight hundred seventy-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11965963 23931926 35897889 47863852 59829815 71795778 107693667 119659630 143591556 179489445 215387334 239319260 358978890 430774668 538468335 717957780 1076936670 2153873340