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6640442040 = 2335291908173
BaseRepresentation
bin1100010111100110…
…10001101010111000
3122010210011101222210
412023303101222320
5102044423121130
63014531415120
7323361553221
oct61363215270
918123141883
106640442040
1128a83a1431
121353a544a0
1381a98445b
1446dcc2248
1528ce935b0
hex18bcd1ab8

6640442040 has 64 divisors (see below), whose sum is σ = 20608279200. Its totient is φ = 1709722112.

The previous prime is 6640442023. The next prime is 6640442057. The reversal of 6640442040 is 402440466.

It is an interprime number because it is at equal distance from previous prime (6640442023) and next prime (6640442057).

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

It is a junction number, because it is equal to n+sod(n) for n = 6640441989 and 6640442007.

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 15 ways as a sum of consecutive naturals, for example, 950607 + ... + 957566.

Almost surely, 26640442040 is an apocalyptic number.

6640442040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6640442040 is an abundant number, since it is smaller than the sum of its proper divisors (13967837160).

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

6640442040 is a wasteful number, since it uses less digits than its factorization.

6640442040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908216 (or 1908212 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 6640442040 is about 81488.9074659858. The cubic root of 6640442040 is about 1879.6009829196.

The spelling of 6640442040 in words is "six billion, six hundred forty million, four hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 1908173 3816346 5724519 7632692 9540865 11449038 15265384 19081730 22898076 28622595 38163460 45796152 55337017 57245190 76326920 110674034 114490380 166011051 221348068 228980760 276685085 332022102 442696136 553370170 664044204 830055255 1106740340 1328088408 1660110510 2213480680 3320221020 6640442040