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114432420 = 223511511657
BaseRepresentation
bin1101101001000…
…01100110100100
321222022202202210
412310201212210
5213243314140
615204403420
72556442134
oct664414644
9258282683
10114432420
1159659853
12323a6570
131a9279bb
14112aaac4
15a0a5d80
hex6d219a4

114432420 has 48 divisors (see below), whose sum is σ = 320882688. Its totient is φ = 30470400.

The previous prime is 114432419. The next prime is 114432469. The reversal of 114432420 is 24234411.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68232 + ... + 69888.

It is an arithmetic number, because the mean of its divisors is an integer number (6685056).

Almost surely, 2114432420 is an apocalyptic number.

114432420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114432420 is an abundant number, since it is smaller than the sum of its proper divisors (206450268).

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

114432420 is a wasteful number, since it uses less digits than its factorization.

114432420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 114432420 is about 10697.3090074093. The cubic root of 114432420 is about 485.4930614740.

Adding to 114432420 its reverse (24234411), we get a palindrome (138666831).

The spelling of 114432420 in words is "one hundred fourteen million, four hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1151 1657 2302 3314 3453 4604 4971 5755 6628 6906 8285 9942 11510 13812 16570 17265 19884 23020 24855 33140 34530 49710 69060 99420 1907207 3814414 5721621 7628828 9536035 11443242 19072070 22886484 28608105 38144140 57216210 114432420