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642990240 = 253251014421
BaseRepresentation
bin100110010100110…
…100000010100000
31122210220021210100
4212110310002200
52304101141430
6143445302400
721635220054
oct4624640240
91583807710
10642990240
112aaa510a2
1215b404a00
13a329b4c9
1461577c64
153b6b0960
hex265340a0

642990240 has 144 divisors (see below), whose sum is σ = 2216430216. Its totient is φ = 169728000.

The previous prime is 642990209. The next prime is 642990241. The reversal of 642990240 is 42099246.

642990240 is a `hidden beast` number, since 642 + 9 + 9 + 0 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 642926736 + 63504 = 25356^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 642990195 and 642990204.

It is not an unprimeable number, because it can be changed into a prime (642990241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143230 + ... + 147650.

Almost surely, 2642990240 is an apocalyptic number.

642990240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642990240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108215108).

642990240 is an abundant number, since it is smaller than the sum of its proper divisors (1573439976).

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

642990240 is a wasteful number, since it uses less digits than its factorization.

642990240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4543 (or 4532 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 642990240 is about 25357.2522170680. The cubic root of 642990240 is about 863.1139321463.

It can be divided in two parts, 6429 and 90240, that added together give a palindrome (96669).

The spelling of 642990240 in words is "six hundred forty-two million, nine hundred ninety thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 101 120 144 160 180 202 240 288 303 360 404 480 505 606 720 808 909 1010 1212 1440 1515 1616 1818 2020 2424 3030 3232 3636 4040 4421 4545 4848 6060 7272 8080 8842 9090 9696 12120 13263 14544 16160 17684 18180 22105 24240 26526 29088 35368 36360 39789 44210 48480 53052 66315 70736 72720 79578 88420 106104 132630 141472 145440 159156 176840 198945 212208 265260 318312 353680 397890 424416 446521 530520 636624 707360 795780 893042 1061040 1273248 1339563 1591560 1786084 2122080 2232605 2679126 3183120 3572168 4018689 4465210 5358252 6366240 6697815 7144336 8037378 8930420 10716504 13395630 14288672 16074756 17860840 20093445 21433008 26791260 32149512 35721680 40186890 42866016 53582520 64299024 71443360 80373780 107165040 128598048 160747560 214330080 321495120 642990240