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672898320 = 24335615107
BaseRepresentation
bin101000000110111…
…001110100010000
31201220011202222000
4220012321310100
52334230221240
6150434314000
722450353453
oct5006716420
91656152860
10672898320
11315919516
12169428900
13a95406b3
146552149a
153e11c430
hex281b9d10

672898320 has 160 divisors (see below), whose sum is σ = 2356218240. Its totient is φ = 176463360.

The previous prime is 672898313. The next prime is 672898321. The reversal of 672898320 is 23898276.

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

It is not an unprimeable number, because it can be changed into a prime (672898321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129207 + ... + 134313.

It is an arithmetic number, because the mean of its divisors is an integer number (14726364).

Almost surely, 2672898320 is an apocalyptic number.

672898320 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 672898320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178109120).

672898320 is an abundant number, since it is smaller than the sum of its proper divisors (1683319920).

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

672898320 is a wasteful number, since it uses less digits than its factorization.

672898320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5190 (or 5178 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 672898320 is about 25940.2837301368. The cubic root of 672898320 is about 876.2939527662.

The spelling of 672898320 in words is "six hundred seventy-two million, eight hundred ninety-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 61 72 80 90 108 120 122 135 144 180 183 216 240 244 270 305 360 366 432 488 540 549 610 720 732 915 976 1080 1098 1220 1464 1647 1830 2160 2196 2440 2745 2928 3294 3660 4392 4880 5107 5490 6588 7320 8235 8784 10214 10980 13176 14640 15321 16470 20428 21960 25535 26352 30642 32940 40856 43920 45963 51070 61284 65880 76605 81712 91926 102140 122568 131760 137889 153210 183852 204280 229815 245136 275778 306420 311527 367704 408560 459630 551556 612840 623054 689445 735408 919260 934581 1103112 1225680 1246108 1378890 1557635 1838520 1869162 2206224 2492216 2757780 2803743 3115270 3677040 3738324 4672905 4984432 5515560 5607486 6230540 7476648 8411229 9345810 11031120 11214972 12461080 14018715 14953296 16822458 18691620 22429944 24922160 28037430 33644916 37383240 42056145 44859888 56074860 67289832 74766480 84112290 112149720 134579664 168224580 224299440 336449160 672898320