Search a number
-
+
114513750 = 235541329
BaseRepresentation
bin1101101001101…
…01011101010110
321222110220100000
412310311131112
5213303420000
615210232130
72560231221
oct664653526
9258426300
10114513750
115970496a
1232425646
131a955a20
14112cc5b8
15a0c0000
hex6d35756

114513750 has 240 divisors, whose sum is σ = 358197840. Its totient is φ = 27216000.

The previous prime is 114513733. The next prime is 114513767. The reversal of 114513750 is 57315411.

114513750 = T155 + T156 + ... + T883.

It is an interprime number because it is at equal distance from previous prime (114513733) and next prime (114513767).

It is a super-2 number, since 2×1145137502 = 26226797878125000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3948736 + ... + 3948764.

It is an arithmetic number, because the mean of its divisors is an integer number (1492491).

Almost surely, 2114513750 is an apocalyptic number.

114513750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114513750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179098920).

114513750 is an abundant number, since it is smaller than the sum of its proper divisors (243684090).

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

114513750 is an equidigital number, since it uses as much as digits as its factorization.

114513750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 114513750 is about 10701.1097555347. The cubic root of 114513750 is about 485.6080516140.

The spelling of 114513750 in words is "one hundred fourteen million, five hundred thirteen thousand, seven hundred fifty".