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114420540 = 223513178629
BaseRepresentation
bin1101101000111…
…10101100111100
321222022011110210
412310132230330
5213242424130
615204232420
72556362403
oct664365474
9258264423
10114420540
1159650933
123239b710
131a922480
14112a663a
15a0a25b0
hex6d1eb3c

114420540 has 96 divisors (see below), whose sum is σ = 365359680. Its totient is φ = 26505216.

The previous prime is 114420511. The next prime is 114420541. The reversal of 114420540 is 45024411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114420541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8946 + ... + 17574.

It is an arithmetic number, because the mean of its divisors is an integer number (3805830).

Almost surely, 2114420540 is an apocalyptic number.

114420540 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 114420540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182679840).

114420540 is an abundant number, since it is smaller than the sum of its proper divisors (250939140).

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

114420540 is a wasteful number, since it uses less digits than its factorization.

114420540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8671 (or 8669 counting only the distinct ones).

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

The square root of 114420540 is about 10696.7537131599. The cubic root of 114420540 is about 485.4762601247.

Adding to 114420540 its reverse (45024411), we get a palindrome (159444951).

It can be divided in two parts, 114420 and 540, that added together give a triangular number (114960 = T479).

The spelling of 114420540 in words is "one hundred fourteen million, four hundred twenty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 1020 1105 1326 2210 2652 3315 4420 6630 8629 13260 17258 25887 34516 43145 51774 86290 103548 112177 129435 146693 172580 224354 258870 293386 336531 440079 448708 517740 560885 586772 673062 733465 880158 1121770 1346124 1466930 1682655 1760316 1907009 2200395 2243540 2933860 3365310 3814018 4400790 5721027 6730620 7628036 8801580 9535045 11442054 19070090 22884108 28605135 38140180 57210270 114420540