Search a number
-
+
5867969040 = 2432529281033
BaseRepresentation
bin1010111011100001…
…00001101000010000
3120010221121201020200
411131300201220100
544004200002130
62410134535200
7265261625313
oct53560415020
916127551220
105867969040
112541351a9a
121179207500
1372691ba3b
143d948097a
15245257760
hex15dc21a10

5867969040 has 120 divisors (see below), whose sum is σ = 20386206360. Its totient is φ = 1510828032.

The previous prime is 5867968973. The next prime is 5867969053. The reversal of 5867969040 is 409697685.

It can be written as a sum of positive squares in 4 ways, for example, as 181602576 + 5686366464 = 13476^2 + 75408^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119637 + ... + 161396.

It is an arithmetic number, because the mean of its divisors is an integer number (169885053).

Almost surely, 25867969040 is an apocalyptic number.

It is an amenable number.

5867969040 is an abundant number, since it is smaller than the sum of its proper divisors (14518237320).

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

5867969040 is a wasteful number, since it uses less digits than its factorization.

5867969040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281081 (or 281072 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 5867969040 is about 76602.6699273596. The cubic root of 5867969040 is about 1803.6929367915.

The spelling of 5867969040 in words is "five billion, eight hundred sixty-seven million, nine hundred sixty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 696 720 870 1044 1160 1305 1392 1740 2088 2320 2610 3480 4176 5220 6960 10440 20880 281033 562066 843099 1124132 1405165 1686198 2248264 2529297 2810330 3372396 4215495 4496528 5058594 5620660 6744792 8149957 8430990 10117188 11241320 12646485 13489584 16299914 16861980 20234376 22482640 24449871 25292970 32599828 33723960 40468752 40749785 48899742 50585940 65199656 67447920 73349613 81499570 97799484 101171880 122249355 130399312 146699226 162999140 195598968 202343760 244498710 293398452 325998280 366748065 391197936 488997420 586796904 651996560 733496130 977994840 1173593808 1466992260 1955989680 2933984520 5867969040