Search a number
-
+
5880130560 = 210325127607
BaseRepresentation
bin1010111100111101…
…11010110000000000
3120011210111120201100
411132132322300000
544020303134220
62411251334400
7265500166533
oct53636726000
916153446640
105880130560
1125481a9137
1211812b1400
137292b93c5
143dad28a1a
1524635ad90
hex15e7bac00

5880130560 has 132 divisors (see below), whose sum is σ = 20374658928. Its totient is φ = 1568022528.

The previous prime is 5880130547. The next prime is 5880130631. The reversal of 5880130560 is 650310885.

5880130560 is a `hidden beast` number, since 5 + 8 + 80 + 13 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17724 + ... + 109883.

Almost surely, 25880130560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5880130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10187329464).

5880130560 is an abundant number, since it is smaller than the sum of its proper divisors (14494528368).

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

5880130560 is a wasteful number, since it uses less digits than its factorization.

5880130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127638 (or 127617 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5880130560 is about 76682.0093633442. The cubic root of 5880130560 is about 1804.9381439452.

The spelling of 5880130560 in words is "five billion, eight hundred eighty million, one hundred thirty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 15360 23040 46080 127607 255214 382821 510428 638035 765642 1020856 1148463 1276070 1531284 1914105 2041712 2296926 2552140 3062568 3828210 4083424 4593852 5104280 5742315 6125136 7656420 8166848 9187704 10208560 11484630 12250272 15312840 16333696 18375408 20417120 22969260 24500544 30625680 32667392 36750816 40834240 45938520 49001088 61251360 65334784 73501632 81668480 91877040 98002176 122502720 130669568 147003264 163336960 183754080 196004352 245005440 294006528 326673920 367508160 392008704 490010880 588013056 653347840 735016320 980021760 1176026112 1470032640 1960043520 2940065280 5880130560