Search a number
-
+
870022803060 = 22345537051113
BaseRepresentation
bin11001010100100010110…
…01100110111001110100
310002011200101101200210000
430222101121212321310
5103223301314144220
61503403304031300
7116566655543625
oct14522131467164
93064611350700
10870022803060
11305a7a211074
12120748a62530
1364073049258
1430175dd5a4c
1517970909390
hexca91666e74

870022803060 has 60 divisors (see below), whose sum is σ = 2729293761348. Its totient is φ = 232006080384.

The previous prime is 870022803053. The next prime is 870022803061. The reversal of 870022803060 is 60308220078.

It is a happy number.

870022803060 is a `hidden beast` number, since 8 + 70 + 0 + 2 + 280 + 306 + 0 = 666.

870022803060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 105314528484 + 764708274576 = 324522^2 + 874476^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870022803061) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 268523937 + ... + 268527176.

Almost surely, 2870022803060 is an apocalyptic number.

It is an amenable number.

870022803060 is an abundant number, since it is smaller than the sum of its proper divisors (1859270958288).

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

870022803060 is a wasteful number, since it uses less digits than its factorization.

870022803060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537051134 (or 537051123 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 870022803060 in words is "eight hundred seventy billion, twenty-two million, eight hundred three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 537051113 1074102226 1611153339 2148204452 2685255565 3222306678 4833460017 5370511130 6444613356 8055766695 9666920034 10741022260 14500380051 16111533390 19333840068 24167300085 29000760102 32223066780 43501140153 48334600170 58001520204 72501900255 87002280306 96669200340 145003800510 174004560612 217505700765 290007601020 435011401530 870022803060