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2923866720 = 253451723577
BaseRepresentation
bin1010111001000110…
…1010101001100000
321112202202211010000
42232101222221200
521442002213340
61202044340000
7132312312525
oct25621525140
97482684100
102923866720
1112704a0385
12697244600
133779a9168
141da46914c
15121a55d30
hexae46aa60

2923866720 has 480 divisors, whose sum is σ = 11420595648. Its totient is φ = 700710912.

The previous prime is 2923866679. The next prime is 2923866721. The reversal of 2923866720 is 276683292.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2923866721) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5067072 + ... + 5067648.

Almost surely, 22923866720 is an apocalyptic number.

2923866720 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 2923866720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5710297824).

2923866720 is an abundant number, since it is smaller than the sum of its proper divisors (8496728928).

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

2923866720 is a wasteful number, since it uses less digits than its factorization.

2923866720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2923866720 is about 54072.7909396214. The cubic root of 2923866720 is about 1429.9445297733.

The spelling of 2923866720 in words is "two billion, nine hundred twenty-three million, eight hundred sixty-six thousand, seven hundred twenty".