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672170040 = 233252118849
BaseRepresentation
bin101000000100001…
…000000000111000
31201211210202221200
4220010020000320
52334033420130
6150410534200
722441231263
oct5004100070
91654722850
10672170040
11315471333
12169137360
13a9347069
14653b1cda
153e026760
hex28108038

672170040 has 96 divisors (see below), whose sum is σ = 2195154000. Its totient is φ = 178375680.

The previous prime is 672170027. The next prime is 672170047. The reversal of 672170040 is 40071276.

It is a junction number, because it is equal to n+sod(n) for n = 672169986 and 672170013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672170047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71536 + ... + 80384.

Almost surely, 2672170040 is an apocalyptic number.

672170040 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 672170040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097577000).

672170040 is an abundant number, since it is smaller than the sum of its proper divisors (1522983960).

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

672170040 is a wasteful number, since it uses less digits than its factorization.

672170040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9077 (or 9070 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 672170040 is about 25926.2423038897. The cubic root of 672170040 is about 875.9777000641.

The spelling of 672170040 in words is "six hundred seventy-two million, one hundred seventy thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 211 360 422 633 844 1055 1266 1688 1899 2110 2532 3165 3798 4220 5064 6330 7596 8440 8849 9495 12660 15192 17698 18990 25320 26547 35396 37980 44245 53094 70792 75960 79641 88490 106188 132735 159282 176980 212376 265470 318564 353960 398205 530940 637128 796410 1061880 1592820 1867139 3185640 3734278 5601417 7468556 9335695 11202834 14937112 16804251 18671390 22405668 28007085 33608502 37342780 44811336 56014170 67217004 74685560 84021255 112028340 134434008 168042510 224056680 336085020 672170040