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40109040 = 2433531599
BaseRepresentation
bin1001100100000…
…0001111110000
32210110202021000
42121000033300
540231442130
63551402000
7664630656
oct231001760
983422230
1040109040
1120705574
1211523300
13840437a
145480dd6
1537c4260
hex26403f0

40109040 has 160 divisors (see below), whose sum is σ = 142848000. Its totient is φ = 10333440.

The previous prime is 40109023. The next prime is 40109077. The reversal of 40109040 is 4090104.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66661 + ... + 67259.

It is an arithmetic number, because the mean of its divisors is an integer number (892800).

Almost surely, 240109040 is an apocalyptic number.

40109040 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 40109040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71424000).

40109040 is an abundant number, since it is smaller than the sum of its proper divisors (102738960).

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

40109040 is a wasteful number, since it uses less digits than its factorization.

40109040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 40109040 is about 6333.1698224507. The cubic root of 40109040 is about 342.3056670140.

Adding to 40109040 its reverse (4090104), we get a palindrome (44199144).

The spelling of 40109040 in words is "forty million, one hundred nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 90 93 108 120 124 135 144 155 180 186 216 240 248 270 279 310 360 372 432 465 496 540 558 599 620 720 744 837 930 1080 1116 1198 1240 1395 1488 1674 1797 1860 2160 2232 2396 2480 2790 2995 3348 3594 3720 4185 4464 4792 5391 5580 5990 6696 7188 7440 8370 8985 9584 10782 11160 11980 13392 14376 16173 16740 17970 18569 21564 22320 23960 26955 28752 32346 33480 35940 37138 43128 47920 53910 55707 64692 66960 71880 74276 80865 86256 92845 107820 111414 129384 143760 148552 161730 167121 185690 215640 222828 258768 278535 297104 323460 334242 371380 431280 445656 501363 557070 646920 668484 742760 835605 891312 1002726 1114140 1293840 1336968 1485520 1671210 2005452 2228280 2506815 2673936 3342420 4010904 4456560 5013630 6684840 8021808 10027260 13369680 20054520 40109040