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5377640 = 235233577
BaseRepresentation
bin10100100000111001101000
3101010012201212
4110200321220
52334041030
6311132252
763465152
oct24407150
911105655
105377640
113043334
121974088
131163948
149ddad2
15713595
hex520e68

5377640 has 32 divisors (see below), whose sum is σ = 12172680. Its totient is φ = 2138112.

The previous prime is 5377637. The next prime is 5377643. The reversal of 5377640 is 467735.

It is an interprime number because it is at equal distance from previous prime (5377637) and next prime (5377643).

It can be written as a sum of positive squares in 4 ways, for example, as 4990756 + 386884 = 2234^2 + 622^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5377597 and 5377606.

It is not an unprimeable number, because it can be changed into a prime (5377643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9032 + ... + 9608.

Almost surely, 25377640 is an apocalyptic number.

It is an amenable number.

5377640 is an abundant number, since it is smaller than the sum of its proper divisors (6795040).

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

5377640 is a wasteful number, since it uses less digits than its factorization.

5377640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 5377640 is about 2318.9739110219. The cubic root of 5377640 is about 175.1985773047.

It can be divided in two parts, 537 and 7640, that multiplied together give a triangular number (4102680 = T2864).

The spelling of 5377640 in words is "five million, three hundred seventy-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 233 466 577 932 1154 1165 1864 2308 2330 2885 4616 4660 5770 9320 11540 23080 134441 268882 537764 672205 1075528 1344410 2688820 5377640