Search a number
-
+
40926760 = 2357319157
BaseRepresentation
bin1001110000011…
…1111000101000
32212000021221221
42130013320220
540434124020
64021111424
71004605000
oct234077050
985007857
1040926760
1121113976
1211858574
13862c624
145615000
1538d66aa
hex2707e28

40926760 has 128 divisors (see below), whose sum is σ = 113760000. Its totient is φ = 13208832.

The previous prime is 40926757. The next prime is 40926761. The reversal of 40926760 is 6762904.

It is not an unprimeable number, because it can be changed into a prime (40926761) 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, 260602 + ... + 260758.

It is an arithmetic number, because the mean of its divisors is an integer number (888750).

Almost surely, 240926760 is an apocalyptic number.

40926760 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 40926760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56880000).

40926760 is an abundant number, since it is smaller than the sum of its proper divisors (72833240).

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

40926760 is a wasteful number, since it uses less digits than its factorization.

40926760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 40926760 is about 6397.4025979299. The cubic root of 40926760 is about 344.6162785434.

Adding to 40926760 its product of nonzero digits (18144), we get a palindrome (40944904).

The spelling of 40926760 in words is "forty million, nine hundred twenty-six thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 49 56 70 76 95 98 133 140 152 157 190 196 245 266 280 314 343 380 392 490 532 628 665 686 760 785 931 980 1064 1099 1256 1330 1372 1570 1715 1862 1960 2198 2660 2744 2983 3140 3430 3724 4396 4655 5320 5495 5966 6280 6517 6860 7448 7693 8792 9310 10990 11932 13034 13720 14915 15386 18620 20881 21980 23864 26068 29830 30772 32585 37240 38465 41762 43960 52136 53851 59660 61544 65170 76930 83524 104405 107702 119320 130340 146167 153860 167048 208810 215404 260680 269255 292334 307720 417620 430808 538510 584668 730835 835240 1023169 1077020 1169336 1461670 2046338 2154040 2923340 4092676 5115845 5846680 8185352 10231690 20463380 40926760