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5377540 = 225771541
BaseRepresentation
bin10100100000111000000100
3101010012121011
4110200320010
52334040130
6311132004
763464650
oct24407004
911105534
105377540
113043253
121974004
13116389c
149dda60
1571352a
hex520e04

5377540 has 48 divisors (see below), whose sum is σ = 13112064. Its totient is φ = 1814400.

The previous prime is 5377529. The next prime is 5377549. The reversal of 5377540 is 457735.

5377540 = T315 + T316 + ... + T398.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5377549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9670 + ... + 10210.

It is an arithmetic number, because the mean of its divisors is an integer number (273168).

Almost surely, 25377540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5377540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6556032).

5377540 is an abundant number, since it is smaller than the sum of its proper divisors (7734524).

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

5377540 is a wasteful number, since it uses less digits than its factorization.

5377540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 31.

The square root of 5377540 is about 2318.9523496614. The cubic root of 5377540 is about 175.1974913286.

The spelling of 5377540 in words is "five million, three hundred seventy-seven thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 355 497 541 710 994 1082 1420 1988 2164 2485 2705 3787 4970 5410 7574 9940 10820 15148 18935 37870 38411 75740 76822 153644 192055 268877 384110 537754 768220 1075508 1344385 2688770 5377540