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114028520 = 23517612749
BaseRepresentation
bin1101100101111…
…10111111101000
321221120020201112
412302332333220
5213142403040
615152005452
72553140444
oct662767750
9257506645
10114028520
1159403351
1232230888
131a815bc8
1411203824
15a026365
hex6cbefe8

114028520 has 64 divisors (see below), whose sum is σ = 276210000. Its totient is φ = 42209280.

The previous prime is 114028517. The next prime is 114028529. The reversal of 114028520 is 25820411.

It can be written as a sum of positive squares in 8 ways, for example, as 12945604 + 101082916 = 3598^2 + 10054^2 .

It is not an unprimeable number, because it can be changed into a prime (114028529) 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, 40106 + ... + 42854.

Almost surely, 2114028520 is an apocalyptic number.

114028520 is a gapful number since it is divisible by the number (10) 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 114028520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138105000).

114028520 is an abundant number, since it is smaller than the sum of its proper divisors (162181480).

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

114028520 is a wasteful number, since it uses less digits than its factorization.

114028520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2838 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 114028520 is about 10678.4137398773. The cubic root of 114028520 is about 484.9211902980.

Adding to 114028520 its reverse (25820411), we get a palindrome (139848931).

The spelling of 114028520 in words is "one hundred fourteen million, twenty-eight thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 61 68 85 122 136 170 244 305 340 488 610 680 1037 1220 2074 2440 2749 4148 5185 5498 8296 10370 10996 13745 20740 21992 27490 41480 46733 54980 93466 109960 167689 186932 233665 335378 373864 467330 670756 838445 934660 1341512 1676890 1869320 2850713 3353780 5701426 6707560 11402852 14253565 22805704 28507130 57014260 114028520