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40039920 = 2434537167
BaseRepresentation
bin1001100010111…
…1010111110000
32210100020110000
42120233113300
540222234140
63550110000
7664222314
oct230572760
983306400
1040039920
1120668648
12114ab300
1383aba7b
145463b44
1537ada30
hex262f5f0

40039920 has 200 divisors, whose sum is σ = 143678304. Its totient is φ = 10326528.

The previous prime is 40039919. The next prime is 40039921. The reversal of 40039920 is 2993004.

It is an interprime number because it is at equal distance from previous prime (40039919) and next prime (40039921).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40039921) 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, 239677 + ... + 239843.

Almost surely, 240039920 is an apocalyptic number.

40039920 is a gapful number since it is divisible by the number (40) 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 40039920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71839152).

40039920 is an abundant number, since it is smaller than the sum of its proper divisors (103638384).

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

40039920 is a wasteful number, since it uses less digits than its factorization.

40039920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 40039920 is about 6327.7104864240. The cubic root of 40039920 is about 342.1089219083.

The spelling of 40039920 in words is "forty million, thirty-nine thousand, nine hundred twenty".