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672420210 = 2357111717123
BaseRepresentation
bin101000000101000…
…101000101110010
31201212021111010020
4220011011011302
52334114421320
6150420144310
722443322530
oct5005050562
91655244106
10672420210
11315622290
12169238096
13a9403ba7
1465439150
153e075940
hex28145172

672420210 has 128 divisors (see below), whose sum is σ = 2130499584. Its totient is φ = 131496960.

The previous prime is 672420149. The next prime is 672420223. The reversal of 672420210 is 12024276.

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 63 ways as a sum of consecutive naturals, for example, 30709 + ... + 47831.

It is an arithmetic number, because the mean of its divisors is an integer number (16644528).

Almost surely, 2672420210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672420210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065249792).

672420210 is an abundant number, since it is smaller than the sum of its proper divisors (1458079374).

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

672420210 is a wasteful number, since it uses less digits than its factorization.

672420210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17168.

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 672420210 is about 25931.0665033276. The cubic root of 672420210 is about 876.0863611403.

Adding to 672420210 its reverse (12024276), we get a palindrome (684444486).

The spelling of 672420210 in words is "six hundred seventy-two million, four hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 17 21 22 30 33 34 35 42 51 55 66 70 77 85 102 105 110 119 154 165 170 187 210 231 238 255 330 357 374 385 462 510 561 595 714 770 935 1122 1155 1190 1309 1785 1870 2310 2618 2805 3570 3927 5610 6545 7854 13090 17123 19635 34246 39270 51369 85615 102738 119861 171230 188353 239722 256845 291091 359583 376706 513690 565059 582182 599305 719166 873273 941765 1130118 1198610 1318471 1455455 1746546 1797915 1883530 2037637 2636942 2825295 2910910 3202001 3595830 3955413 4075274 4366365 5650590 6112911 6404002 6592355 7910826 8732730 9606003 10188185 12225822 13184710 16010005 19212006 19777065 20376370 22414007 30564555 32020010 39554130 44828014 48030015 61129110 67242021 96060030 112070035 134484042 224140070 336210105 672420210