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2123732520 = 233557513
BaseRepresentation
bin111111010010101…
…1001011000101000
312111000011210100000
41332211121120220
513322133420040
6550422543000
7103425300000
oct17645313050
95430153300
102123732520
1199a878748
124b3297a60
1327acaa180
141620a7000
15c66a4130
hex7e959628

2123732520 has 576 divisors, whose sum is σ = 8993013120. Its totient is φ = 448084224.

The previous prime is 2123732519. The next prime is 2123732521. The reversal of 2123732520 is 252373212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2123732519) and next prime (2123732521).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123732521) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 163364034 + ... + 163364046.

It is an arithmetic number, because the mean of its divisors is an integer number (15612870).

Almost surely, 22123732520 is an apocalyptic number.

2123732520 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 2123732520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4496506560).

2123732520 is an abundant number, since it is smaller than the sum of its proper divisors (6869280600).

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

2123732520 is an frugal number, since it uses more digits than its factorization.

2123732520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2123732520 is about 46083.9724850191. The cubic root of 2123732520 is about 1285.3851328844.

The spelling of 2123732520 in words is "two billion, one hundred twenty-three million, seven hundred thirty-two thousand, five hundred twenty".