Search a number
-
+
6075420840 = 2332517779497
BaseRepresentation
bin1011010100001111…
…11001000010101000
3120200101222100121200
411222013321002220
544420301431330
62442505204200
7303361140126
oct55207710250
916611870550
106075420840
112638464665
121216790660
1375a8b4a98
14418c42916
15258584a60
hex16a1f90a8

6075420840 has 96 divisors (see below), whose sum is σ = 19758309480. Its totient is φ = 1619030016.

The previous prime is 6075420823. The next prime is 6075420853. The reversal of 6075420840 is 480245706.

6075420840 is a `hidden beast` number, since 607 + 5 + 4 + 2 + 0 + 8 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3289481316 + 2785939524 = 57354^2 + 52782^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 6075420795 and 6075420804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 634972 + ... + 644468.

Almost surely, 26075420840 is an apocalyptic number.

6075420840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6075420840 is an abundant number, since it is smaller than the sum of its proper divisors (13682888640).

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

6075420840 is a wasteful number, since it uses less digits than its factorization.

6075420840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11291 (or 11284 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 6075420840 is about 77944.9859837052. The cubic root of 6075420840 is about 1824.7027315903.

The spelling of 6075420840 in words is "six billion, seventy-five million, four hundred twenty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1777 3554 5331 7108 8885 9497 10662 14216 15993 17770 18994 21324 26655 28491 31986 35540 37988 42648 47485 53310 56982 63972 71080 75976 79965 85473 94970 106620 113964 127944 142455 159930 170946 189940 213240 227928 284910 319860 341892 379880 427365 569820 639720 683784 854730 1139640 1709460 3418920 16876169 33752338 50628507 67504676 84380845 101257014 135009352 151885521 168761690 202514028 253142535 303771042 337523380 405028056 506285070 607542084 675046760 759427605 1012570140 1215084168 1518855210 2025140280 3037710420 6075420840