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40114620 = 223257133179
BaseRepresentation
bin1001100100000…
…1100110111100
32210111000220200
42121001212330
540232131440
63551443500
7664653150
oct231014674
983430820
1040114620
1120709787
1211526590
138406a80
145483060
1537c5c30
hex26419bc

40114620 has 288 divisors, whose sum is σ = 156549120. Its totient is φ = 8087040.

The previous prime is 40114603. The next prime is 40114649. The reversal of 40114620 is 2641104.

40114620 is a `hidden beast` number, since 40 + 1 + 1 + 4 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40114593 and 40114602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 507741 + ... + 507819.

Almost surely, 240114620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40114620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78274560).

40114620 is an abundant number, since it is smaller than the sum of its proper divisors (116434500).

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

40114620 is a wasteful number, since it uses less digits than its factorization.

40114620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 40114620 is about 6333.6103448191. The cubic root of 40114620 is about 342.3215402191.

Adding to 40114620 its reverse (2641104), we get a palindrome (42755724).

The spelling of 40114620 in words is "forty million, one hundred fourteen thousand, six hundred twenty".