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6261466140 = 2232548771429
BaseRepresentation
bin1011101010011011…
…00110010000011100
3121011101001102210100
411311031212100130
5100310413404030
62513152541100
7311110404216
oct56515462034
917141042710
106261466140
112723486206
121268b51790
1378a2c4467
144358315b6
15269a84360
hex17536641c

6261466140 has 72 divisors (see below), whose sum is σ = 19032380640. Its totient is φ = 1666272384.

The previous prime is 6261466121. The next prime is 6261466151. The reversal of 6261466140 is 416641626.

6261466140 is a `hidden beast` number, since 6 + 26 + 14 + 6 + 614 + 0 = 666.

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 = 6261466095 and 6261466104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51946 + ... + 123374.

It is an arithmetic number, because the mean of its divisors is an integer number (264338620).

Almost surely, 26261466140 is an apocalyptic number.

6261466140 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 6261466140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9516190320).

6261466140 is an abundant number, since it is smaller than the sum of its proper divisors (12770914500).

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

6261466140 is a wasteful number, since it uses less digits than its factorization.

6261466140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71931 (or 71926 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6261466140 is about 79129.4265112543. The cubic root of 6261466140 is about 1843.1415043952.

The spelling of 6261466140 in words is "six billion, two hundred sixty-one million, four hundred sixty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 487 974 1461 1948 2435 2922 4383 4870 5844 7305 8766 9740 14610 17532 21915 29220 43830 71429 87660 142858 214287 285716 357145 428574 642861 714290 857148 1071435 1285722 1428580 2142870 2571444 3214305 4285740 6428610 12857220 34785923 69571846 104357769 139143692 173929615 208715538 313073307 347859230 417431076 521788845 626146614 695718460 1043577690 1252293228 1565366535 2087155380 3130733070 6261466140