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673624920 = 2335231072281
BaseRepresentation
bin101000001001101…
…011001101011000
31201221112200200010
4220021223031120
52334421444140
6150502041520
722456501023
oct5011531530
91657480603
10673624920
11316275411
121697192a0
13a9736337
14656701ba
153e212880
hex2826b358

673624920 has 128 divisors (see below), whose sum is σ = 2129379840. Its totient is φ = 170142720.

The previous prime is 673624909. The next prime is 673624921. The reversal of 673624920 is 29426376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673624921) 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 31 ways as a sum of consecutive naturals, for example, 294180 + ... + 296460.

It is an arithmetic number, because the mean of its divisors is an integer number (16635780).

Almost surely, 2673624920 is an apocalyptic number.

673624920 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 673624920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064689920).

673624920 is an abundant number, since it is smaller than the sum of its proper divisors (1455754920).

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

673624920 is a wasteful number, since it uses less digits than its factorization.

673624920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 673624920 is about 25954.2851953199. The cubic root of 673624920 is about 876.6092486181.

The spelling of 673624920 in words is "six hundred seventy-three million, six hundred twenty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 107 115 120 138 184 214 230 276 321 345 428 460 535 552 642 690 856 920 1070 1284 1380 1605 2140 2281 2461 2568 2760 3210 4280 4562 4922 6420 6843 7383 9124 9844 11405 12305 12840 13686 14766 18248 19688 22810 24610 27372 29532 34215 36915 45620 49220 52463 54744 59064 68430 73830 91240 98440 104926 136860 147660 157389 209852 244067 262315 273720 295320 314778 419704 488134 524630 629556 732201 786945 976268 1049260 1220335 1259112 1464402 1573890 1952536 2098520 2440670 2928804 3147780 3661005 4881340 5613541 5857608 6295560 7322010 9762680 11227082 14644020 16840623 22454164 28067705 29288040 33681246 44908328 56135410 67362492 84203115 112270820 134724984 168406230 224541640 336812460 673624920