Search a number
-
+
40691840 = 275731293
BaseRepresentation
bin1001101100111…
…0100010000000
32211120100201012
42123032202000
540404114330
64012100052
71002606050
oct233164200
984510635
1040691840
1120a73422
1211764628
138579717
145593560
15388bc95
hex26ce880

40691840 has 128 divisors (see below), whose sum is σ = 115153920. Its totient is φ = 13455360.

The previous prime is 40691839. The next prime is 40691851. The reversal of 40691840 is 4819604.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 40691797 and 40691806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138734 + ... + 139026.

It is an arithmetic number, because the mean of its divisors is an integer number (899640).

Almost surely, 240691840 is an apocalyptic number.

40691840 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 40691840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57576960).

40691840 is an abundant number, since it is smaller than the sum of its proper divisors (74462080).

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

40691840 is a wasteful number, since it uses less digits than its factorization.

40691840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 40691840 is about 6379.0155980371. The cubic root of 40691840 is about 343.9556459850.

The spelling of 40691840 in words is "forty million, six hundred ninety-one thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 128 140 155 160 217 224 248 280 293 310 320 434 448 496 560 586 620 640 868 896 992 1085 1120 1172 1240 1465 1736 1984 2051 2170 2240 2344 2480 2930 3472 3968 4102 4340 4480 4688 4960 5860 6944 8204 8680 9083 9376 9920 10255 11720 13888 16408 17360 18166 18752 19840 20510 23440 27776 32816 34720 36332 37504 41020 45415 46880 63581 65632 69440 72664 82040 90830 93760 127162 131264 138880 145328 164080 181660 187520 254324 262528 290656 317905 328160 363320 508648 581312 635810 656320 726640 1017296 1162624 1271620 1312640 1453280 2034592 2543240 2906560 4069184 5086480 5813120 8138368 10172960 20345920 40691840