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2057704740 = 22325713269467
BaseRepresentation
bin111101010100110…
…0001010100100100
312022101221020020200
41322221201110210
513203233022430
6540103430500
7101664126120
oct17251412444
95271836220
102057704740
11966580033
12495155430
1326a3cc690
141573da580
15c09b0460
hex7aa61524

2057704740 has 288 divisors, whose sum is σ = 7727166720. Its totient is φ = 431612928.

The previous prime is 2057704739. The next prime is 2057704741. The reversal of 2057704740 is 474077502.

It is a happy number.

2057704740 is a `hidden beast` number, since 2 + 0 + 577 + 0 + 47 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2057704739) and next prime (2057704741).

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 = 2057704695 and 2057704704.

It is not an unprimeable number, because it can be changed into a prime (2057704741) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4405987 + ... + 4406453.

It is an arithmetic number, because the mean of its divisors is an integer number (26830440).

Almost surely, 22057704740 is an apocalyptic number.

2057704740 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 2057704740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863583360).

2057704740 is an abundant number, since it is smaller than the sum of its proper divisors (5669461980).

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

2057704740 is a wasteful number, since it uses less digits than its factorization.

2057704740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 2057704740 is about 45361.9305144744. The cubic root of 2057704740 is about 1271.9235817981.

The spelling of 2057704740 in words is "two billion, fifty-seven million, seven hundred four thousand, seven hundred forty".