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2180239740 = 223557193373
BaseRepresentation
bin1000000111110011…
…1101000101111100
312121221111122200000
42001330331011330
513431120132430
61000202034300
7105012506040
oct20174750574
95557448600
102180239740
11a19763428
1250a1a8990
132899033b3
141697b6020
15cb616e60
hex81f3d17c

2180239740 has 288 divisors, whose sum is σ = 8253073920. Its totient is φ = 471972096.

The previous prime is 2180239693. The next prime is 2180239753. The reversal of 2180239740 is 479320812.

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 = 2180239695 and 2180239704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 644694 + ... + 648066.

Almost surely, 22180239740 is an apocalyptic number.

2180239740 is a gapful number since it is divisible by the number (20) 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 2180239740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126536960).

2180239740 is an abundant number, since it is smaller than the sum of its proper divisors (6072834180).

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

2180239740 is a wasteful number, since it uses less digits than its factorization.

2180239740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3423 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2180239740 is about 46693.0373824621. The cubic root of 2180239740 is about 1296.6857867389.

The spelling of 2180239740 in words is "two billion, one hundred eighty million, two hundred thirty-nine thousand, seven hundred forty".