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683965440 = 21032514843
BaseRepresentation
bin101000110001000…
…111110000000000
31202200000001012100
4220301013300000
52400043343230
6151511430400
722643416224
oct5061076000
91680001170
10683965440
113210983a4
12171085400
13ab916ba2
1466ba2784
15400a6660
hex28c47c00

683965440 has 132 divisors (see below), whose sum is σ = 2370082104. Its totient is φ = 182378496.

The previous prime is 683965433. The next prime is 683965453. The reversal of 683965440 is 44569386.

It is a super-2 number, since 2×6839654402 = 935617446228787200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38659 + ... + 53501.

Almost surely, 2683965440 is an apocalyptic number.

683965440 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 683965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185041052).

683965440 is an abundant number, since it is smaller than the sum of its proper divisors (1686116664).

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

683965440 is a wasteful number, since it uses less digits than its factorization.

683965440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14874 (or 14853 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 683965440 is about 26152.7329355844. The cubic root of 683965440 is about 881.0719718843.

The spelling of 683965440 in words is "six hundred eighty-three million, nine hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 14843 15360 23040 29686 44529 46080 59372 74215 89058 118744 133587 148430 178116 222645 237488 267174 296860 356232 445290 474976 534348 593720 667935 712464 890580 949952 1068696 1187440 1335870 1424928 1781160 1899904 2137392 2374880 2671740 2849856 3562320 3799808 4274784 4749760 5343480 5699712 7124640 7599616 8549568 9499520 10686960 11399424 14249280 15199232 17099136 18999040 21373920 22798848 28498560 34198272 37998080 42747840 45597696 56997120 68396544 75996160 85495680 113994240 136793088 170991360 227988480 341982720 683965440