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40101390 = 23257531201
BaseRepresentation
bin1001100011111…
…0011000001110
32210110100202200
42120332120032
540231221030
63551302330
7664566450
oct230763016
983410680
1040101390
11206aa84a
121151a9a6
138400a44
14547c2d0
1537c1d60
hex263e60e

40101390 has 96 divisors (see below), whose sum is σ = 121507776. Its totient is φ = 8985600.

The previous prime is 40101389. The next prime is 40101409. The reversal of 40101390 is 9310104.

40101390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32790 + ... + 33990.

It is an arithmetic number, because the mean of its divisors is an integer number (1265706).

Almost surely, 240101390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40101390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60753888).

40101390 is an abundant number, since it is smaller than the sum of its proper divisors (81406386).

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

40101390 is a wasteful number, since it uses less digits than its factorization.

40101390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 40101390 is about 6332.5658306882. The cubic root of 40101390 is about 342.2839029690.

Adding to 40101390 its reverse (9310104), we get a palindrome (49411494).

The spelling of 40101390 in words is "forty million, one hundred one thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 53 63 70 90 105 106 126 159 210 265 315 318 371 477 530 630 742 795 954 1113 1201 1590 1855 2226 2385 2402 3339 3603 3710 4770 5565 6005 6678 7206 8407 10809 11130 12010 16695 16814 18015 21618 25221 33390 36030 42035 50442 54045 63653 75663 84070 108090 126105 127306 151326 190959 252210 318265 378315 381918 445571 572877 636530 756630 891142 954795 1145754 1336713 1909590 2227855 2673426 2864385 4010139 4455710 5728770 6683565 8020278 13367130 20050695 40101390