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6460212540 = 2235269400261
BaseRepresentation
bin1100000010000111…
…10000010100111100
3121200020000210121010
412001003300110330
5101212303300130
62545012435220
7316042620615
oct60103602474
917606023533
106460212540
112815692331
121303618b10
137bc52cc92
14453da8c0c
1527c2420b0
hex1810f053c

6460212540 has 48 divisors (see below), whose sum is σ = 18155884320. Its totient is φ = 1716314880.

The previous prime is 6460212527. The next prime is 6460212581. The reversal of 6460212540 is 452120646.

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 = 6460212498 and 6460212507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183991 + ... + 216270.

It is an arithmetic number, because the mean of its divisors is an integer number (378247590).

Almost surely, 26460212540 is an apocalyptic number.

6460212540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6460212540 is an abundant number, since it is smaller than the sum of its proper divisors (11695671780).

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

6460212540 is a wasteful number, since it uses less digits than its factorization.

6460212540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400542 (or 400540 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 6460212540 is about 80375.4473704501. The cubic root of 6460212540 is about 1862.4399070142.

The spelling of 6460212540 in words is "six billion, four hundred sixty million, two hundred twelve thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 269 538 807 1076 1345 1614 2690 3228 4035 5380 8070 16140 400261 800522 1200783 1601044 2001305 2401566 4002610 4803132 6003915 8005220 12007830 24015660 107670209 215340418 323010627 430680836 538351045 646021254 1076702090 1292042508 1615053135 2153404180 3230106270 6460212540