Search a number
-
+
7075106000 = 245319186187
BaseRepresentation
bin1101001011011010…
…11000110011010000
3200021002001121211222
412211231120303100
5103442211343000
63130020024212
7340220260124
oct64555306320
920232047758
107075106000
113000792946
121455532068
13889a41871
144b190b584
152b6202a85
hex1a5b58cd0

7075106000 has 80 divisors (see below), whose sum is σ = 18008103360. Its totient is φ = 2681078400.

The previous prime is 7075105993. The next prime is 7075106041. The reversal of 7075106000 is 6015707.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×70751060002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55094 + ... + 131093.

It is an arithmetic number, because the mean of its divisors is an integer number (225101292).

Almost surely, 27075106000 is an apocalyptic number.

It is an amenable number.

7075106000 is an abundant number, since it is smaller than the sum of its proper divisors (10932997360).

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

7075106000 is a wasteful number, since it uses less digits than its factorization.

7075106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186229 (or 186213 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 7075106000 is about 84113.6493085397. The cubic root of 7075106000 is about 1919.7484117682.

The spelling of 7075106000 in words is "seven billion, seventy-five million, one hundred six thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 2000 2375 3800 4750 7600 9500 19000 38000 186187 372374 744748 930935 1489496 1861870 2978992 3537553 3723740 4654675 7075106 7447480 9309350 14150212 14894960 17687765 18618700 23273375 28300424 35375530 37237400 46546750 56600848 70751060 74474800 88438825 93093500 141502120 176877650 186187000 283004240 353755300 372374000 442194125 707510600 884388250 1415021200 1768776500 3537553000 7075106000