Search a number
-
+
7114746420 = 2232562872
BaseRepresentation
bin1101010000001001…
…00110101000110100
3200100211122120021200
412220010212220310
5104032333341140
63133553412500
7341211226635
oct65004465064
920324576250
107114746420
1130210a8321
12146686a130
13895010832
144b6ca988c
152b9933030
hex1a8126a34

7114746420 has 54 divisors (see below), whose sum is σ = 21584830722. Its totient is φ = 1896963936.

The previous prime is 7114746409. The next prime is 7114746437. The reversal of 7114746420 is 246474117.

It is a happy number.

7114746420 is a `hidden beast` number, since 7 + 1 + 1 + 4 + 7 + 4 + 642 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5691797136 + 1422949284 = 75444^2 + 37722^2 .

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

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 1128517 + ... + 1134803.

Almost surely, 27114746420 is an apocalyptic number.

It is an amenable number.

7114746420 is an abundant number, since it is smaller than the sum of its proper divisors (14470084302).

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

7114746420 is an equidigital number, since it uses as much as digits as its factorization.

7114746420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12589 (or 6297 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 7114746420 is about 84348.9562472471. The cubic root of 7114746420 is about 1923.3270601702.

The spelling of 7114746420 in words is "seven billion, one hundred fourteen million, seven hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6287 12574 18861 25148 31435 37722 56583 62870 75444 94305 113166 125740 188610 226332 282915 377220 565830 1131660 39526369 79052738 118579107 158105476 197631845 237158214 355737321 395263690 474316428 592895535 711474642 790527380 1185791070 1422949284 1778686605 2371582140 3557373210 7114746420