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6401423460 = 2235293678979
BaseRepresentation
bin1011111011000110…
…11111100001100100
3121112010102000010210
411331203133201210
5101102231022320
62535112415420
7314430126105
oct57543374144
917463360123
106401423460
112795489213
1212a79a7570
137b02b8243
1444a2643ac
15276ecd0e0
hex17d8df864

6401423460 has 48 divisors (see below), whose sum is σ = 18542059200. Its totient is φ = 1648182144.

The previous prime is 6401423447. The next prime is 6401423467. The reversal of 6401423460 is 643241046.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (6401423467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1837750 + ... + 1841229.

It is an arithmetic number, because the mean of its divisors is an integer number (386292900).

Almost surely, 26401423460 is an apocalyptic number.

6401423460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6401423460 is an abundant number, since it is smaller than the sum of its proper divisors (12140635740).

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

6401423460 is a wasteful number, since it uses less digits than its factorization.

6401423460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679020 (or 3679018 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 6401423460 is about 80008.8961303679. The cubic root of 6401423460 is about 1856.7731714922.

The spelling of 6401423460 in words is "six billion, four hundred one million, four hundred twenty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 3678979 7357958 11036937 14715916 18394895 22073874 36789790 44147748 55184685 73579580 106690391 110369370 213380782 220738740 320071173 426761564 533451955 640142346 1066903910 1280284692 1600355865 2133807820 3200711730 6401423460