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5205230440 = 235413838287
BaseRepresentation
bin1001101100100000…
…11000001101101000
3111102202120002210121
410312100120031220
541130014333230
62220302053024
7242663504644
oct46620301550
914382502717
105205230440
112231242743
12101327a174
1364c527817
14375445c24
15206e9577a
hex136418368

5205230440 has 64 divisors (see below), whose sum is σ = 12030197760. Its totient is φ = 2025761280.

The previous prime is 5205230423. The next prime is 5205230449. The reversal of 5205230440 is 440325025.

It is not an unprimeable number, because it can be changed into a prime (5205230449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 623977 + ... + 632263.

It is an arithmetic number, because the mean of its divisors is an integer number (187971840).

Almost surely, 25205230440 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 5205230440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6015098880).

5205230440 is an abundant number, since it is smaller than the sum of its proper divisors (6824967320).

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

5205230440 is a wasteful number, since it uses less digits than its factorization.

5205230440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8722 (or 8718 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 5205230440 is about 72147.2829703240. The cubic root of 5205230440 is about 1733.0588893232.

Adding to 5205230440 its reverse (440325025), we get a palindrome (5645555465).

The spelling of 5205230440 in words is "five billion, two hundred five million, two hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 383 410 766 820 1532 1640 1915 3064 3830 7660 8287 15320 15703 16574 31406 33148 41435 62812 66296 78515 82870 125624 157030 165740 314060 331480 339767 628120 679534 1359068 1698835 2718136 3173921 3397670 6347842 6795340 12695684 13590680 15869605 25391368 31739210 63478420 126956840 130130761 260261522 520523044 650653805 1041046088 1301307610 2602615220 5205230440