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671939040 = 253510313591
BaseRepresentation
bin101000000011001…
…111100111100000
31201211101001002010
4220003033213200
52334004022130
6150401552520
722436246643
oct5003174740
91654331063
10671939040
11315323823
12169045740
13a9295b86
1465351a5a
153decd0b0
hex280cf9e0

671939040 has 96 divisors (see below), whose sum is σ = 2137314816. Its totient is φ = 177431040.

The previous prime is 671939039. The next prime is 671939041. The reversal of 671939040 is 40939176.

It is an interprime number because it is at equal distance from previous prime (671939039) and next prime (671939041).

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

It is a super-2 number, since 2×6719390402 = 903004146952243200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 671939040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671939041) by changing a digit.

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, 42645 + ... + 56235.

It is an arithmetic number, because the mean of its divisors is an integer number (22263696).

Almost surely, 2671939040 is an apocalyptic number.

671939040 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 671939040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068657408).

671939040 is an abundant number, since it is smaller than the sum of its proper divisors (1465375776).

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

671939040 is a wasteful number, since it uses less digits than its factorization.

671939040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13712 (or 13704 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 671939040 is about 25921.7869754382. The cubic root of 671939040 is about 875.8773415133.

The spelling of 671939040 in words is "six hundred seventy-one million, nine hundred thirty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 103 120 160 206 240 309 412 480 515 618 824 1030 1236 1545 1648 2060 2472 3090 3296 4120 4944 6180 8240 9888 12360 13591 16480 24720 27182 40773 49440 54364 67955 81546 108728 135910 163092 203865 217456 271820 326184 407730 434912 543640 652368 815460 1087280 1304736 1399873 1630920 2174560 2799746 3261840 4199619 5599492 6523680 6999365 8399238 11198984 13998730 16798476 20998095 22397968 27997460 33596952 41996190 44795936 55994920 67193904 83992380 111989840 134387808 167984760 223979680 335969520 671939040