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40115790 = 233511131039
BaseRepresentation
bin1001100100000…
…1111001001110
32210111002112000
42121001321032
540232201130
63551453130
7664656441
oct231017116
983432460
1040115790
112070a650
12115271a6
138407470
145483658
1537c6260
hex2641e4e

40115790 has 128 divisors (see below), whose sum is σ = 125798400. Its totient is φ = 8968320.

The previous prime is 40115773. The next prime is 40115819. The reversal of 40115790 is 9751104.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38091 + ... + 39129.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 240115790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40115790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62899200).

40115790 is an abundant number, since it is smaller than the sum of its proper divisors (85682610).

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

40115790 is a wasteful number, since it uses less digits than its factorization.

40115790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 40115790 is about 6333.7027085268. The cubic root of 40115790 is about 342.3248682851.

Adding to 40115790 its reverse (9751104), we get a palindrome (49866894).

It can be divided in two parts, 4011 and 5790, that added together give a square (9801 = 992).

The spelling of 40115790 in words is "forty million, one hundred fifteen thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 27 30 33 39 45 54 55 65 66 78 90 99 110 117 130 135 143 165 195 198 234 270 286 297 330 351 390 429 495 585 594 702 715 858 990 1039 1170 1287 1430 1485 1755 2078 2145 2574 2970 3117 3510 3861 4290 5195 6234 6435 7722 9351 10390 11429 12870 13507 15585 18702 19305 22858 27014 28053 31170 34287 38610 40521 46755 56106 57145 67535 68574 81042 93510 102861 114290 121563 135070 140265 148577 171435 202605 205722 243126 280530 297154 308583 342870 364689 405210 445731 514305 607815 617166 729378 742885 891462 1028610 1215630 1337193 1485770 1542915 1823445 2228655 2674386 3085830 3646890 4011579 4457310 6685965 8023158 13371930 20057895 40115790