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685148640 = 253511129763
BaseRepresentation
bin101000110101101…
…000100111100000
31202202020011020120
4220311220213200
52400344224030
6151553040240
722656444621
oct5065504740
91682204216
10685148640
11321826350
12171556080
13abc3c5c7
1466dcda48
154023c010
hex28d689e0

685148640 has 96 divisors (see below), whose sum is σ = 2354438016. Its totient is φ = 166095360.

The previous prime is 685148623. The next prime is 685148677. The reversal of 685148640 is 46841586.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 685148592 and 685148601.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 59602 + ... + 70161.

It is an arithmetic number, because the mean of its divisors is an integer number (24525396).

Almost surely, 2685148640 is an apocalyptic number.

685148640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

685148640 is an abundant number, since it is smaller than the sum of its proper divisors (1669289376).

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

685148640 is a wasteful number, since it uses less digits than its factorization.

685148640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129792 (or 129784 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 685148640 is about 26175.3441238124. The cubic root of 685148640 is about 881.5797381825.

The spelling of 685148640 in words is "six hundred eighty-five million, one hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 129763 259526 389289 519052 648815 778578 1038104 1297630 1427393 1557156 1946445 2076208 2595260 2854786 3114312 3892890 4152416 4282179 5190520 5709572 6228624 7136965 7785780 8564358 10381040 11419144 12457248 14273930 15571560 17128716 20762080 21410895 22838288 28547860 31143120 34257432 42821790 45676576 57095720 62286240 68514864 85643580 114191440 137029728 171287160 228382880 342574320 685148640