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684267020 = 225234493313
BaseRepresentation
bin101000110010010…
…001011000001100
31202200120100212222
4220302101120030
52400133021040
6151522114512
722646113403
oct5062213014
91680510788
10684267020
11321283a38
121711aba38
13ab9c1238
1466c4063a
1540115bb5
hex28c9160c

684267020 has 48 divisors (see below), whose sum is σ = 1503230400. Its totient is φ = 261144576.

The previous prime is 684266993. The next prime is 684267029. The reversal of 684267020 is 20762486.

It is not an unprimeable number, because it can be changed into a prime (684267029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204884 + ... + 208196.

It is an arithmetic number, because the mean of its divisors is an integer number (31317300).

Almost surely, 2684267020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684267020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751615200).

684267020 is an abundant number, since it is smaller than the sum of its proper divisors (818963380).

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

684267020 is a wasteful number, since it uses less digits than its factorization.

684267020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3794 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 684267020 is about 26158.4980455683. The cubic root of 684267020 is about 881.2014494990.

The spelling of 684267020 in words is "six hundred eighty-four million, two hundred sixty-seven thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 449 460 898 1796 2245 3313 4490 6626 8980 10327 13252 16565 20654 33130 41308 51635 66260 76199 103270 152398 206540 304796 380995 761990 1487537 1523980 2975074 5950148 7437685 14875370 29750740 34213351 68426702 136853404 171066755 342133510 684267020