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6420601000 = 235311718221
BaseRepresentation
bin1011111101011001…
…01001100010101000
3121120110111022210001
411332230221202220
5101122133213000
62541035432344
7315052131232
oct57654514250
917513438701
106420601000
1127a5297620
1212b22b56b4
137b42711b8
1444ca17252
15278a1a46a
hex17eb298a8

6420601000 has 128 divisors (see below), whose sum is σ = 16622910720. Its totient is φ = 2301600000.

The previous prime is 6420600971. The next prime is 6420601013. The reversal of 6420601000 is 1060246.

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, 776890 + ... + 785110.

It is an arithmetic number, because the mean of its divisors is an integer number (129866490).

Almost surely, 26420601000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6420601000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8311455360).

6420601000 is an abundant number, since it is smaller than the sum of its proper divisors (10202309720).

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

6420601000 is a wasteful number, since it uses less digits than its factorization.

6420601000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8324 (or 8310 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 6420601000 is about 80128.6528028520. The cubic root of 6420601000 is about 1858.6255116930.

Adding to 6420601000 its reverse (1060246), we get a palindrome (6421661246).

The spelling of 6420601000 in words is "six billion, four hundred twenty million, six hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 71 88 100 110 125 142 200 220 250 275 284 355 440 500 550 568 710 781 1000 1100 1375 1420 1562 1775 2200 2750 2840 3124 3550 3905 5500 6248 7100 7810 8221 8875 11000 14200 15620 16442 17750 19525 31240 32884 35500 39050 41105 65768 71000 78100 82210 90431 97625 156200 164420 180862 195250 205525 328840 361724 390500 411050 452155 583691 723448 781000 822100 904310 1027625 1167382 1644200 1808620 2055250 2260775 2334764 2918455 3617240 4110500 4521550 4669528 5836910 6420601 8221000 9043100 11303875 11673820 12841202 14592275 18086200 22607750 23347640 25682404 29184550 32103005 45215500 51364808 58369100 64206010 72961375 90431000 116738200 128412020 145922750 160515025 256824040 291845500 321030050 583691000 642060100 802575125 1284120200 1605150250 3210300500 6420601000