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672179940 = 223254498317
BaseRepresentation
bin101000000100001…
…010011011100100
31201211211021112100
4220010022123210
52334034224230
6150411052100
722441302165
oct5004123344
91654737470
10672179940
11315478813
12169141030
13a934b713
14653b576c
153e029660
hex2810a6e4

672179940 has 72 divisors (see below), whose sum is σ = 2043732600. Its totient is φ = 178827264.

The previous prime is 672179903. The next prime is 672179993. The reversal of 672179940 is 49971276.

It can be written as a sum of positive squares in 4 ways, for example, as 282038436 + 390141504 = 16794^2 + 19752^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76662 + ... + 84978.

It is an arithmetic number, because the mean of its divisors is an integer number (28385175).

Almost surely, 2672179940 is an apocalyptic number.

672179940 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 672179940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021866300).

672179940 is an abundant number, since it is smaller than the sum of its proper divisors (1371552660).

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

672179940 is a wasteful number, since it uses less digits than its factorization.

672179940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8781 (or 8776 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 672179940 is about 25926.4332294282. The cubic root of 672179940 is about 875.9820006310.

The spelling of 672179940 in words is "six hundred seventy-two million, one hundred seventy-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 449 898 1347 1796 2245 2694 4041 4490 5388 6735 8082 8317 8980 13470 16164 16634 20205 24951 26940 33268 40410 41585 49902 74853 80820 83170 99804 124755 149706 166340 249510 299412 374265 499020 748530 1497060 3734333 7468666 11202999 14937332 18671665 22405998 33608997 37343330 44811996 56014995 67217994 74686660 112029990 134435988 168044985 224059980 336089970 672179940