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4002368070 = 2353710693373
BaseRepresentation
bin1110111010001111…
…0100101001000110
3101022221011100211110
43232203310221012
531144101234240
61501052345450
7201116365401
oct35643645106
911287140743
104002368070
111774261408
12938475286
134ba27053c
1429d7acd38
15186591c80
hexee8f4a46

4002368070 has 64 divisors (see below), whose sum is σ = 9877452480. Its totient is φ = 1037173248.

The previous prime is 4002368047. The next prime is 4002368081. The reversal of 4002368070 is 708632004.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1184904 + ... + 1188276.

It is an arithmetic number, because the mean of its divisors is an integer number (154335195).

Almost surely, 24002368070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002368070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4938726240).

4002368070 is an abundant number, since it is smaller than the sum of its proper divisors (5875084410).

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

4002368070 is a wasteful number, since it uses less digits than its factorization.

4002368070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4489.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 4002368070 is about 63264.2716705093. The cubic root of 4002368070 is about 1587.7142465715.

The spelling of 4002368070 in words is "four billion, two million, three hundred sixty-eight thousand, seventy".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1069 1110 2138 3207 3373 5345 6414 6746 10119 10690 16035 16865 20238 32070 33730 39553 50595 79106 101190 118659 124801 197765 237318 249602 374403 395530 593295 624005 748806 1186590 1248010 1872015 3605737 3744030 7211474 10817211 18028685 21634422 36057370 54086055 108172110 133412269 266824538 400236807 667061345 800473614 1334122690 2001184035 4002368070