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40142070 = 23251932311
BaseRepresentation
bin1001100100100…
…0010011110110
32210112102120100
42121020103312
540234021240
63552214530
7665126163
oct231102366
983472510
1040142070
1120728371
121153a446
138416407
14548d06a
1537cde30
hex26484f6

40142070 has 48 divisors (see below), whose sum is σ = 104955552. Its totient is φ = 10644480.

The previous prime is 40142059. The next prime is 40142071. The reversal of 40142070 is 7024104.

It is a happy number.

It is a super-2 number, since 2×401420702 = 3222771567769800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40142071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16215 + ... + 18525.

It is an arithmetic number, because the mean of its divisors is an integer number (2186574).

Almost surely, 240142070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40142070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52477776).

40142070 is an abundant number, since it is smaller than the sum of its proper divisors (64813482).

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

40142070 is a wasteful number, since it uses less digits than its factorization.

40142070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2517 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 40142070 is about 6335.7769847115. The cubic root of 40142070 is about 342.3996047230.

Adding to 40142070 its reverse (7024104), we get a palindrome (47166174).

It can be divided in two parts, 4014 and 2070, that added together give a square (6084 = 782).

The spelling of 40142070 in words is "forty million, one hundred forty-two thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 193 386 579 965 1158 1737 1930 2311 2895 3474 4622 5790 6933 8685 11555 13866 17370 20799 23110 34665 41598 69330 103995 207990 446023 892046 1338069 2230115 2676138 4014207 4460230 6690345 8028414 13380690 20071035 40142070