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114976940 = 225131632713
BaseRepresentation
bin1101101101001…
…10100010101100
322000100102201012
412312212202230
5213413230230
615224204352
72564200511
oct666464254
9260312635
10114976940
11599a0971
12326096b8
131aa887c0
14113ad308
15a162395
hex6da68ac

114976940 has 48 divisors (see below), whose sum is σ = 261716448. Its totient is φ = 42177024.

The previous prime is 114976921. The next prime is 114976949. The reversal of 114976940 is 49679411.

It is not an unprimeable number, because it can be changed into a prime (114976949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41024 + ... + 43736.

It is an arithmetic number, because the mean of its divisors is an integer number (5452426).

Almost surely, 2114976940 is an apocalyptic number.

114976940 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 114976940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130858224).

114976940 is an abundant number, since it is smaller than the sum of its proper divisors (146739508).

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

114976940 is a wasteful number, since it uses less digits than its factorization.

114976940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 114976940 is about 10722.7300628152. The cubic root of 114976940 is about 486.2619067361.

The spelling of 114976940 in words is "one hundred fourteen million, nine hundred seventy-six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 163 260 326 652 815 1630 2119 2713 3260 4238 5426 8476 10595 10852 13565 21190 27130 35269 42380 54260 70538 141076 176345 352690 442219 705380 884438 1768876 2211095 4422190 5748847 8844380 11497694 22995388 28744235 57488470 114976940