Search a number
-
+
103206840 = 233511411907
BaseRepresentation
bin1100010011011…
…00111110111000
321012012110011120
412021230332320
5202410104330
614124025240
72362146402
oct611547670
9235173146
10103206840
1153291910
122a692220
13184c7349
14d9c7b72
1590d9c10
hex626cfb8

103206840 has 128 divisors (see below), whose sum is σ = 346187520. Its totient is φ = 24396800.

The previous prime is 103206833. The next prime is 103206863. The reversal of 103206840 is 48602301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 103206840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53167 + ... + 55073.

It is an arithmetic number, because the mean of its divisors is an integer number (2704590).

Almost surely, 2103206840 is an apocalyptic number.

103206840 is a gapful number since it is divisible by the number (10) 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 103206840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173093760).

103206840 is an abundant number, since it is smaller than the sum of its proper divisors (242980680).

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

103206840 is a wasteful number, since it uses less digits than its factorization.

103206840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 103206840 is about 10159.0767297033. The cubic root of 103206840 is about 469.0683824562.

The spelling of 103206840 in words is "one hundred three million, two hundred six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 41 44 55 60 66 82 88 110 120 123 132 164 165 205 220 246 264 328 330 410 440 451 492 615 660 820 902 984 1230 1320 1353 1640 1804 1907 2255 2460 2706 3608 3814 4510 4920 5412 5721 6765 7628 9020 9535 10824 11442 13530 15256 18040 19070 20977 22884 27060 28605 38140 41954 45768 54120 57210 62931 76280 78187 83908 104885 114420 125862 156374 167816 209770 228840 234561 251724 312748 314655 390935 419540 469122 503448 625496 629310 781870 839080 860057 938244 1172805 1258620 1563740 1720114 1876488 2345610 2517240 2580171 3127480 3440228 4300285 4691220 5160342 6880456 8600570 9382440 10320684 12900855 17201140 20641368 25801710 34402280 51603420 103206840