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40253760 = 263451553
BaseRepresentation
bin1001100110001…
…1100101000000
32210202002210000
42121203211000
540301110020
63554440000
7666102621
oct231434500
983662700
1040253760
11207a4278
1211593000
1384551c1
1454bba48
153802090
hex2663940

40253760 has 140 divisors (see below), whose sum is σ = 143281908. Its totient is φ = 10727424.

The previous prime is 40253747. The next prime is 40253783. The reversal of 40253760 is 6735204.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8714304 + 31539456 = 2952^2 + 5616^2 .

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 19 ways as a sum of consecutive naturals, for example, 25144 + ... + 26696.

Almost surely, 240253760 is an apocalyptic number.

40253760 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 40253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71640954).

40253760 is an abundant number, since it is smaller than the sum of its proper divisors (103028148).

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

40253760 is a wasteful number, since it uses less digits than its factorization.

40253760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 40253760 is about 6344.5850928173. The cubic root of 40253760 is about 342.7168711905.

Adding to 40253760 its reverse (6735204), we get a palindrome (46988964).

The spelling of 40253760 in words is "forty million, two hundred fifty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1553 1620 1728 2160 2592 2880 3106 3240 4320 4659 5184 6212 6480 7765 8640 9318 12424 12960 13977 15530 18636 23295 24848 25920 27954 31060 37272 41931 46590 49696 55908 62120 69885 74544 83862 93180 99392 111816 124240 125793 139770 149088 167724 186360 209655 223632 248480 251586 279540 298176 335448 372720 419310 447264 496960 503172 559080 628965 670896 745440 838620 894528 1006344 1118160 1257930 1341792 1490880 1677240 2012688 2236320 2515860 2683584 3354480 4025376 4472640 5031720 6708960 8050752 10063440 13417920 20126880 40253760