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2091925440 = 263451122329
BaseRepresentation
bin111110010110000…
…0011111111000000
312101210022211020000
41330230003333000
513241013103230
6543325120000
7102561033663
oct17454037700
95353284200
102091925440
11983923600
124a46b9000
13274521807
1415bb876da
15c39beb60
hex7cb03fc0

2091925440 has 840 divisors, whose sum is σ = 8829263520. Its totient is φ = 468357120.

The previous prime is 2091925427. The next prime is 2091925483. The reversal of 2091925440 is 445291902.

2091925440 is a `hidden beast` number, since 20 + 9 + 1 + 92 + 544 + 0 = 666.

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 = 2091925395 and 2091925404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 72135346 + ... + 72135374.

It is an arithmetic number, because the mean of its divisors is an integer number (10511028).

Almost surely, 22091925440 is an apocalyptic number.

2091925440 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 2091925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4414631760).

2091925440 is an abundant number, since it is smaller than the sum of its proper divisors (6737338080).

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

2091925440 is a wasteful number, since it uses less digits than its factorization.

2091925440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2091925440 is about 45737.5714265635. The cubic root of 2091925440 is about 1278.9357690571.

The spelling of 2091925440 in words is "two billion, ninety-one million, nine hundred twenty-five thousand, four hundred forty".