Search a number
-
+
2664107430 = 235412165941
BaseRepresentation
bin1001111011001011…
…0000110110100110
320212122222200100120
42132302300312212
520424002414210
61120205022410
7123006353025
oct23662606646
96778880316
102664107430
111147901386
12624254a06
13335c2a63a
141b3b6c8bc
15108d45270
hex9ecb0da6

2664107430 has 32 divisors (see below), whose sum is σ = 6549808608. Its totient is φ = 693100800.

The previous prime is 2664107429. The next prime is 2664107431. The reversal of 2664107430 is 347014662.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2664107429) and next prime (2664107431).

It is a junction number, because it is equal to n+sod(n) for n = 2664107391 and 2664107400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2664107431) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1081741 + ... + 1084200.

It is an arithmetic number, because the mean of its divisors is an integer number (204681519).

Almost surely, 22664107430 is an apocalyptic number.

2664107430 is an abundant number, since it is smaller than the sum of its proper divisors (3885701178).

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

2664107430 is a wasteful number, since it uses less digits than its factorization.

2664107430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165992.

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 2664107430 is about 51614.9922987498. The cubic root of 2664107430 is about 1386.2787878107.

The spelling of 2664107430 in words is "two billion, six hundred sixty-four million, one hundred seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1230 2165941 4331882 6497823 10829705 12995646 21659410 32489115 64978230 88803581 177607162 266410743 444017905 532821486 888035810 1332053715 2664107430