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114961284 = 223217872
BaseRepresentation
bin1101101101000…
…10101110000100
322000022122020100
412312202232010
5213412230114
615224004100
72564104044
oct666425604
9260278210
10114961284
1159990129
1232600630
131aa81639
14113a7724
15a15c909
hex6da2b84

114961284 has 27 divisors (see below), whose sum is σ = 290759287. Its totient is φ = 38298984.

The previous prime is 114961261. The next prime is 114961313. The reversal of 114961284 is 482169411.

The square root of 114961284 is 10722.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 63439 + ... + 65225.

Almost surely, 2114961284 is an apocalyptic number.

114961284 is the 10722-nd square number.

It is an amenable number.

114961284 is an abundant number, since it is smaller than the sum of its proper divisors (175798003).

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

114961284 is an equidigital number, since it uses as much as digits as its factorization.

114961284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 1792 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The cubic root of 114961284 is about 486.2398348842.

Multiplying 114961284 by its sum of digits (36), we get a square (4138606224 = 643322).

114961284 divided by its sum of digits (36) gives a square (3193369 = 17872).

The spelling of 114961284 in words is "one hundred fourteen million, nine hundred sixty-one thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1787 3574 5361 7148 10722 16083 21444 32166 64332 3193369 6386738 9580107 12773476 19160214 28740321 38320428 57480642 114961284