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53040340 = 22517732137
BaseRepresentation
bin1100101001010…
…1010011010100
310200210201200001
43022111103110
5102034242330
65132501044
71212556363
oct312252324
9120721601
1053040340
1127a37aa1
121591a784
13acb1222
1470897da
1549ca9ca
hex32954d4

53040340 has 48 divisors (see below), whose sum is σ = 119608272. Its totient is φ = 19685376.

The previous prime is 53040331. The next prime is 53040341. The reversal of 53040340 is 4304035.

It can be written as a sum of positive squares in 8 ways, for example, as 1602756 + 51437584 = 1266^2 + 7172^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53040341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23752 + ... + 25888.

It is an arithmetic number, because the mean of its divisors is an integer number (2491839).

Almost surely, 253040340 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 53040340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59804136).

53040340 is an abundant number, since it is smaller than the sum of its proper divisors (66567932).

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

53040340 is a wasteful number, since it uses less digits than its factorization.

53040340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 53040340 is about 7282.8799248649. The cubic root of 53040340 is about 375.7238522392.

Adding to 53040340 its reverse (4304035), we get a palindrome (57344375).

The spelling of 53040340 in words is "fifty-three million, forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 73 85 146 170 292 340 365 730 1241 1460 2137 2482 4274 4964 6205 8548 10685 12410 21370 24820 36329 42740 72658 145316 156001 181645 312002 363290 624004 726580 780005 1560010 2652017 3120020 5304034 10608068 13260085 26520170 53040340