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114540240 = 2435598089
BaseRepresentation
bin1101101001110…
…11111011010000
321222112020200010
412310323323100
5213310241430
615210554520
72560401363
oct664737320
9258466603
10114540240
1159722861
1232438a40
131a964ab9
14112d80da
15a0c7cb0
hex6d3bed0

114540240 has 80 divisors (see below), whose sum is σ = 361137600. Its totient is φ = 30022656.

The previous prime is 114540211. The next prime is 114540247. The reversal of 114540240 is 42045411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114540247) 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, 10116 + ... + 18204.

It is an arithmetic number, because the mean of its divisors is an integer number (4514220).

Almost surely, 2114540240 is an apocalyptic number.

114540240 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 114540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180568800).

114540240 is an abundant number, since it is smaller than the sum of its proper divisors (246597360).

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

114540240 is a wasteful number, since it uses less digits than its factorization.

114540240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8164 (or 8158 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 114540240 is about 10702.3474060600. The cubic root of 114540240 is about 485.6454933056.

Adding to 114540240 its reverse (42045411), we get a palindrome (156585651).

The spelling of 114540240 in words is "one hundred fourteen million, five hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 885 944 1180 1416 1770 2360 2832 3540 4720 7080 8089 14160 16178 24267 32356 40445 48534 64712 80890 97068 121335 129424 161780 194136 242670 323560 388272 477251 485340 647120 954502 970680 1431753 1909004 1941360 2386255 2863506 3818008 4772510 5727012 7158765 7636016 9545020 11454024 14317530 19090040 22908048 28635060 38180080 57270120 114540240