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114974640 = 24345111613
BaseRepresentation
bin1101101101001…
…01111110110000
322000100022120000
412312211332300
5213413142030
615224150000
72564161014
oct666457660
9260308500
10114974640
115999a170
1232608300
131aa87741
14113ac544
15a161860
hex6da5fb0

114974640 has 200 divisors, whose sum is σ = 435896208. Its totient is φ = 27855360.

The previous prime is 114974623. The next prime is 114974641. The reversal of 114974640 is 46479411.

114974640 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 7 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 114974595 and 114974604.

It is not an unprimeable number, because it can be changed into a prime (114974641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70474 + ... + 72086.

Almost surely, 2114974640 is an apocalyptic number.

114974640 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 114974640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217948104).

114974640 is an abundant number, since it is smaller than the sum of its proper divisors (320921568).

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

114974640 is a wasteful number, since it uses less digits than its factorization.

114974640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 114974640 is about 10722.6228134725. The cubic root of 114974640 is about 486.2586643183.

The spelling of 114974640 in words is "one hundred fourteen million, nine hundred seventy-four thousand, six hundred forty".