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684913920 = 28351731031
BaseRepresentation
bin101000110100101…
…111010100000000
31202201210020021020
4220310233110000
52400314221140
6151544025440
722654446405
oct5064572400
91681706236
10684913920
11321685a69
12171462280
13abb89812
1466d6c2ac
15401e26d0
hex28d2f500

684913920 has 144 divisors (see below), whose sum is σ = 2202221952. Its totient is φ = 181411840.

The previous prime is 684913891. The next prime is 684913951. The reversal of 684913920 is 29319486.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663805 + ... + 664835.

It is an arithmetic number, because the mean of its divisors is an integer number (15293208).

Almost surely, 2684913920 is an apocalyptic number.

684913920 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 684913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101110976).

684913920 is an abundant number, since it is smaller than the sum of its proper divisors (1517308032).

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

684913920 is a wasteful number, since it uses less digits than its factorization.

684913920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 684913920 is about 26170.8601310694. The cubic root of 684913920 is about 881.4790553924.

The spelling of 684913920 in words is "six hundred eighty-four million, nine hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 173 192 240 256 320 346 384 480 519 640 692 768 865 960 1031 1038 1280 1384 1730 1920 2062 2076 2595 2768 3093 3460 3840 4124 4152 5155 5190 5536 6186 6920 8248 8304 10310 10380 11072 12372 13840 15465 16496 16608 20620 20760 22144 24744 27680 30930 32992 33216 41240 41520 44288 49488 55360 61860 65984 66432 82480 83040 98976 110720 123720 131968 132864 164960 166080 178363 197952 221440 247440 263936 329920 332160 356726 395904 494880 535089 659840 664320 713452 791808 891815 989760 1070178 1319680 1426904 1783630 1979520 2140356 2675445 2853808 3567260 3959040 4280712 5350890 5707616 7134520 8561424 10701780 11415232 14269040 17122848 21403560 22830464 28538080 34245696 42807120 45660928 57076160 68491392 85614240 114152320 136982784 171228480 228304640 342456960 684913920