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681272424 = 233371074211
BaseRepresentation
bin101000100110110…
…110010001101000
31202110221020002000
4220212312101220
52343401204144
6151334011000
722611501660
oct5046662150
91673836060
10681272424
1131a619068
121701a6a60
13ab1b31a1
14666a11a0
153ec23769
hex289b6468

681272424 has 128 divisors (see below), whose sum is σ = 2183500800. Its totient is φ = 192784320.

The previous prime is 681272413. The next prime is 681272479. The reversal of 681272424 is 424272186.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 159679 + ... + 163889.

It is an arithmetic number, because the mean of its divisors is an integer number (17058600).

Almost surely, 2681272424 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 681272424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091750400).

681272424 is an abundant number, since it is smaller than the sum of its proper divisors (1502228376).

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

681272424 is a wasteful number, since it uses less digits than its factorization.

681272424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4340 (or 4330 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 681272424 is about 26101.1958346739. The cubic root of 681272424 is about 879.9140859651.

Subtracting from 681272424 its product of digits (43008), we obtain a triangular number (681229416 = T36911).

The spelling of 681272424 in words is "six hundred eighty-one million, two hundred seventy-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 107 108 126 168 189 214 216 252 321 378 428 504 642 749 756 856 963 1284 1498 1512 1926 2247 2568 2889 2996 3852 4211 4494 5778 5992 6741 7704 8422 8988 11556 12633 13482 16844 17976 20223 23112 25266 26964 29477 33688 37899 40446 50532 53928 58954 75798 80892 88431 101064 113697 117908 151596 161784 176862 227394 235816 265293 303192 353724 450577 454788 530586 707448 795879 901154 909576 1061172 1351731 1591758 1802308 2122344 2703462 3154039 3183516 3604616 4055193 5406924 6308078 6367032 8110386 9462117 10813848 12165579 12616156 16220772 18924234 24331158 25232312 28386351 32441544 37848468 48662316 56772702 75696936 85159053 97324632 113545404 170318106 227090808 340636212 681272424