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2093087040 = 263511237487
BaseRepresentation
bin111110011000001…
…1111100101000000
312101212111211122020
41330300133211000
513241312241130
6543410041440
7102603642402
oct17460374500
95355454566
102093087040
11984547300
124a4b79280
1327483a455
1415bdaab72
15c3b4de10
hex7cc1f940

2093087040 has 336 divisors, whose sum is σ = 7517440896. Its totient is φ = 492687360.

The previous prime is 2093087033. The next prime is 2093087053. The reversal of 2093087040 is 407803902.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2093086992 and 2093087010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4297677 + ... + 4298163.

It is an arithmetic number, because the mean of its divisors is an integer number (22373336).

Almost surely, 22093087040 is an apocalyptic number.

2093087040 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 2093087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758720448).

2093087040 is an abundant number, since it is smaller than the sum of its proper divisors (5424353856).

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

2093087040 is a wasteful number, since it uses less digits than its factorization.

2093087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2093087040 is about 45750.2681959352. The cubic root of 2093087040 is about 1279.1724468516.

The spelling of 2093087040 in words is "two billion, ninety-three million, eighty-seven thousand, forty".