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683938560 = 28351710477
BaseRepresentation
bin101000110001000…
…001001100000000
31202122221200022210
4220301001030000
52400042013220
6151511102120
722643244654
oct5061011400
91678850283
10683938560
1132107a188
12171071940
13ab907896
1466b96a64
154009d6e0
hex28c41300

683938560 has 144 divisors (see below), whose sum is σ = 2313039456. Its totient is φ = 171638784.

The previous prime is 683938531. The next prime is 683938571. The reversal of 683938560 is 65839386.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 60042 + ... + 70518.

It is an arithmetic number, because the mean of its divisors is an integer number (16062774).

Almost surely, 2683938560 is an apocalyptic number.

683938560 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 683938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156519728).

683938560 is an abundant number, since it is smaller than the sum of its proper divisors (1629100896).

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

683938560 is a wasteful number, since it uses less digits than its factorization.

683938560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10518 (or 10504 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 683938560 is about 26152.2190263083. The cubic root of 683938560 is about 881.0604296223.

The spelling of 683938560 in words is "six hundred eighty-three million, nine hundred thirty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 544 640 680 768 816 960 1020 1088 1280 1360 1632 1920 2040 2176 2720 3264 3840 4080 4352 5440 6528 8160 10477 10880 13056 16320 20954 21760 31431 32640 41908 52385 62862 65280 83816 104770 125724 157155 167632 178109 209540 251448 314310 335264 356218 419080 502896 534327 628620 670528 712436 838160 890545 1005792 1068654 1257240 1341056 1424872 1676320 1781090 2011584 2137308 2514480 2671635 2682112 2849744 3352640 3562180 4023168 4274616 5028960 5343270 5699488 6705280 7124360 8046336 8549232 10057920 10686540 11398976 13410560 14248720 17098464 20115840 21373080 22797952 28497440 34196928 40231680 42746160 45595904 56994880 68393856 85492320 113989760 136787712 170984640 227979520 341969280 683938560