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41007390 = 23523103577
BaseRepresentation
bin1001110001101…
…1100100011110
32212011101120020
42130123210132
540444214030
64022533010
71005362034
oct234334436
985141506
1041007390
1121169506
1211897166
13865a238
145636554
153900510
hex271b91e

41007390 has 64 divisors (see below), whose sum is σ = 103873536. Its totient is φ = 10340352.

The previous prime is 41007371. The next prime is 41007397. The reversal of 41007390 is 9370014.

It is a super-2 number, since 2×410073902 = 3363212069224200, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 41007390.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41007397) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70782 + ... + 71358.

It is an arithmetic number, because the mean of its divisors is an integer number (1623024).

Almost surely, 241007390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41007390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51936768).

41007390 is an abundant number, since it is smaller than the sum of its proper divisors (62866146).

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

41007390 is a wasteful number, since it uses less digits than its factorization.

41007390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 41007390 is about 6403.7012734824. The cubic root of 41007390 is about 344.8424401314.

The spelling of 41007390 in words is "forty-one million, seven thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 103 115 138 206 230 309 345 515 577 618 690 1030 1154 1545 1731 2369 2885 3090 3462 4738 5770 7107 8655 11845 13271 14214 17310 23690 26542 35535 39813 59431 66355 71070 79626 118862 132710 178293 199065 297155 356586 398130 594310 891465 1366913 1782930 2733826 4100739 6834565 8201478 13669130 20503695 41007390