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114503040 = 27325103193
BaseRepresentation
bin1101101001100…
…10110110000000
321222110100122100
412310302312000
5213303044130
615210110400
72560155051
oct664626600
9258410570
10114503040
11596a7913
123241b400
131a950ba2
14112c8728
15a0bbc60
hex6d32d80

114503040 has 192 divisors, whose sum is σ = 401300640. Its totient is φ = 30081024.

The previous prime is 114503033. The next prime is 114503069. The reversal of 114503040 is 40305411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1145030402 = 26221892338483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 593184 + ... + 593376.

Almost surely, 2114503040 is an apocalyptic number.

114503040 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 114503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200650320).

114503040 is an abundant number, since it is smaller than the sum of its proper divisors (286797600).

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

114503040 is a wasteful number, since it uses less digits than its factorization.

114503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 114503040 is about 10700.6093284448. The cubic root of 114503040 is about 485.5929121675.

Adding to 114503040 its reverse (40305411), we get a palindrome (154808451).

The spelling of 114503040 in words is "one hundred fourteen million, five hundred three thousand, forty".