Search a number
-
+
4190560560 = 243256786869
BaseRepresentation
bin1111100111000110…
…1110000100110000
3101211001021112101200
43321301232010300
532040240414220
61531454131200
7205563114504
oct37161560460
911731245350
104190560560
11186050a19a
1298b4b0b00
1351a252344
142ba79a304
15197d67890
hexf9c6e130

4190560560 has 120 divisors (see below), whose sum is σ = 14283512880. Its totient is φ = 1100791296.

The previous prime is 4190560529. The next prime is 4190560567. The reversal of 4190560560 is 650650914.

4190560560 is a `hidden beast` number, since 4 + 1 + 90 + 5 + 6 + 0 + 560 = 666.

4190560560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is not an unprimeable number, because it can be changed into a prime (4190560567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4806 + ... + 91674.

It is an arithmetic number, because the mean of its divisors is an integer number (119029274).

Almost surely, 24190560560 is an apocalyptic number.

4190560560 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 4190560560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7141756440).

4190560560 is an abundant number, since it is smaller than the sum of its proper divisors (10092952320).

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

4190560560 is a wasteful number, since it uses less digits than its factorization.

4190560560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86955 (or 86946 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 4190560560 is about 64734.5391580105. The cubic root of 4190560560 is about 1612.2190200881.

The spelling of 4190560560 in words is "four billion, one hundred ninety million, five hundred sixty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 67 72 80 90 120 134 144 180 201 240 268 335 360 402 536 603 670 720 804 1005 1072 1206 1340 1608 2010 2412 2680 3015 3216 4020 4824 5360 6030 8040 9648 12060 16080 24120 48240 86869 173738 260607 347476 434345 521214 694952 781821 868690 1042428 1303035 1389904 1563642 1737380 2084856 2606070 3127284 3474760 3909105 4169712 5212140 5820223 6254568 6949520 7818210 10424280 11640446 12509136 15636420 17460669 20848560 23280892 29101115 31272840 34921338 46561784 52382007 58202230 62545680 69842676 87303345 93123568 104764014 116404460 139685352 174606690 209528028 232808920 261910035 279370704 349213380 419056056 465617840 523820070 698426760 838112112 1047640140 1396853520 2095280280 4190560560