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667307940 = 223513671132
BaseRepresentation
bin100111110001100…
…100111110100100
31201111122202101220
4213301210332210
52331312323230
6150114420340
722352011125
oct4761447644
91644582356
10667307940
11312750372
121675916b0
13a8333c90
14648a804c
153d8b5d10
hex27c64fa4

667307940 has 144 divisors (see below), whose sum is σ = 2060455488. Its totient is φ = 160376832.

The previous prime is 667307939. The next prime is 667307959. The reversal of 667307940 is 49703766.

It is a junction number, because it is equal to n+sod(n) for n = 667307892 and 667307901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5905324 + ... + 5905436.

Almost surely, 2667307940 is an apocalyptic number.

667307940 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 667307940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030227744).

667307940 is an abundant number, since it is smaller than the sum of its proper divisors (1393147548).

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

667307940 is a wasteful number, since it uses less digits than its factorization.

667307940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The square root of 667307940 is about 25832.3041945545. The cubic root of 667307940 is about 873.8604769016.

The spelling of 667307940 in words is "six hundred sixty-seven million, three hundred seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 67 78 113 130 134 156 195 201 226 260 268 335 339 390 402 452 565 670 678 780 804 871 1005 1130 1340 1356 1469 1695 1742 2010 2260 2613 2938 3390 3484 4020 4355 4407 5226 5876 6780 7345 7571 8710 8814 10452 12769 13065 14690 15142 17420 17628 22035 22713 25538 26130 29380 30284 37855 38307 44070 45426 51076 52260 63845 75710 76614 88140 90852 98423 113565 127690 151420 153228 165997 191535 196846 227130 255380 295269 331994 383070 393692 454260 492115 497991 590538 663988 766140 829985 855523 984230 995982 1181076 1476345 1659970 1711046 1968460 1991964 2489955 2566569 2952690 3319940 3422092 4277615 4979910 5133138 5905380 8555230 9959820 10266276 11121799 12832845 17110460 22243598 25665690 33365397 44487196 51331380 55608995 66730794 111217990 133461588 166826985 222435980 333653970 667307940