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114262416 = 2432793489
BaseRepresentation
bin1101100111110…
…00000110010000
321222000010120100
412303320012100
5213222344131
615201012400
72555133402
oct663700620
9258003510
10114262416
1159553054
1232324100
131a8984c8
1411264b72
15a0707e6
hex6cf8190

114262416 has 30 divisors (see below), whose sum is σ = 319776470. Its totient is φ = 38087424.

The previous prime is 114262399. The next prime is 114262427. The reversal of 114262416 is 614262411.

It can be written as a sum of positive squares in only one way, i.e., 94012416 + 20250000 = 9696^2 + 4500^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 114262416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 396601 + ... + 396888.

Almost surely, 2114262416 is an apocalyptic number.

114262416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114262416 is an abundant number, since it is smaller than the sum of its proper divisors (205514054).

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

114262416 is a wasteful number, since it uses less digits than its factorization.

114262416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793503 (or 793494 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 114262416 is about 10689.3599434204. The cubic root of 114262416 is about 485.2525216320.

The spelling of 114262416 in words is "one hundred fourteen million, two hundred sixty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 793489 1586978 2380467 3173956 4760934 6347912 7141401 9521868 12695824 14282802 19043736 28565604 38087472 57131208 114262416