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683010144 = 2534416427
BaseRepresentation
bin101000101101011…
…110100001100000
31202121012111210000
4220231132201200
52344322311034
6151435140000
722632330135
oct5055364140
91677174700
10683010144
113205a56a3
121708a4600
13ab67111b
14669d458c
153ee68599
hex28b5e860

683010144 has 120 divisors (see below), whose sum is σ = 2058027048. Its totient is φ = 222082560.

The previous prime is 683010143. The next prime is 683010149. The reversal of 683010144 is 441010386.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683010143) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 103059 + ... + 109485.

Almost surely, 2683010144 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 683010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029013524).

683010144 is an abundant number, since it is smaller than the sum of its proper divisors (1375016904).

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

683010144 is a wasteful number, since it uses less digits than its factorization.

683010144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6490 (or 6473 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 683010144 is about 26134.4627647097. The cubic root of 683010144 is about 880.6615823887.

The spelling of 683010144 in words is "six hundred eighty-three million, ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 81 82 96 108 123 144 162 164 216 246 288 324 328 369 432 492 648 656 738 864 984 1107 1296 1312 1476 1968 2214 2592 2952 3321 3936 4428 5904 6427 6642 8856 11808 12854 13284 17712 19281 25708 26568 35424 38562 51416 53136 57843 77124 102832 106272 115686 154248 173529 205664 231372 263507 308496 347058 462744 520587 527014 616992 694116 790521 925488 1041174 1054028 1388232 1581042 1850976 2082348 2108056 2371563 2776464 3162084 4164696 4216112 4743126 5552928 6324168 7114689 8329392 8432224 9486252 12648336 14229378 16658784 18972504 21344067 25296672 28458756 37945008 42688134 56917512 75890016 85376268 113835024 170752536 227670048 341505072 683010144