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6430040160 = 253515718527
BaseRepresentation
bin1011111110100001…
…01010000001100000
3121121010020212212120
411333100222001200
5101132042241120
62542014024240
7315225303525
oct57720520140
917533225776
106430040160
1127aa654385
1212b54a8080
137b61c76bb
1444dd9314c
15279782140
hex17f42a060

6430040160 has 96 divisors (see below), whose sum is σ = 20269896192. Its totient is φ = 1713384960.

The previous prime is 6430040107. The next prime is 6430040171. The reversal of 6430040160 is 610400346.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6430040160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 749817 + ... + 758343.

It is an arithmetic number, because the mean of its divisors is an integer number (211144752).

Almost surely, 26430040160 is an apocalyptic number.

6430040160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6430040160 is an abundant number, since it is smaller than the sum of its proper divisors (13839856032).

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

6430040160 is a wasteful number, since it uses less digits than its factorization.

6430040160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10116 (or 10108 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 6430040160 is about 80187.5312003057. The cubic root of 6430040160 is about 1859.5358767979.

The spelling of 6430040160 in words is "six billion, four hundred thirty million, forty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1571 3142 4713 6284 7855 8527 9426 12568 15710 17054 18852 23565 25136 25581 31420 34108 37704 42635 47130 50272 51162 62840 68216 75408 85270 94260 102324 125680 127905 136432 150816 170540 188520 204648 251360 255810 272864 341080 377040 409296 511620 682160 754080 818592 1023240 1364320 2046480 4092960 13395917 26791834 40187751 53583668 66979585 80375502 107167336 133959170 160751004 200938755 214334672 267918340 321502008 401877510 428669344 535836680 643004016 803755020 1071673360 1286008032 1607510040 2143346720 3215020080 6430040160