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642738540 = 2235103104003
BaseRepresentation
bin100110010011110…
…110100101101100
31122210102111112010
4212103312211230
52304020113130
6143440041220
721633121203
oct4623664554
91583374463
10642738540
112aa899a84
1215b303210
13a3210a82
146151023a
153b6610b0
hex264f696c

642738540 has 48 divisors (see below), whose sum is σ = 1817157888. Its totient is φ = 169731264.

The previous prime is 642738539. The next prime is 642738541. The reversal of 642738540 is 45837246.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (642738539) and next prime (642738541).

It is a super-2 number, since 2×6427385402 = 826225661602663200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (642738541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45822 + ... + 58181.

It is an arithmetic number, because the mean of its divisors is an integer number (37857456).

Almost surely, 2642738540 is an apocalyptic number.

642738540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642738540 is an abundant number, since it is smaller than the sum of its proper divisors (1174419348).

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

642738540 is a wasteful number, since it uses less digits than its factorization.

642738540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104118 (or 104116 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 642738540 is about 25352.2886540841. The cubic root of 642738540 is about 863.0012948067.

The spelling of 642738540 in words is "six hundred forty-two million, seven hundred thirty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1030 1236 1545 2060 3090 6180 104003 208006 312009 416012 520015 624018 1040030 1248036 1560045 2080060 3120090 6240180 10712309 21424618 32136927 42849236 53561545 64273854 107123090 128547708 160684635 214246180 321369270 642738540