Search a number
-
+
103208796 = 223329311063
BaseRepresentation
bin1100010011011…
…01011101011100
321012012112212000
412021231131130
5202410140141
614124042300
72362155165
oct611553534
9235175760
10103208796
1153293329
122a693390
13184c81c2
14d9c876c
1590da5b6
hex626d75c

103208796 has 96 divisors (see below), whose sum is σ = 286003200. Its totient is φ = 32114880.

The previous prime is 103208789. The next prime is 103208801. The reversal of 103208796 is 697802301.

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

It is a self number, because there is not a number n which added to its sum of digits gives 103208796.

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, 96561 + ... + 97623.

It is an arithmetic number, because the mean of its divisors is an integer number (2979200).

Almost surely, 2103208796 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 103208796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143001600).

103208796 is an abundant number, since it is smaller than the sum of its proper divisors (182794404).

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

103208796 is a wasteful number, since it uses less digits than its factorization.

103208796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 103208796 is about 10159.1729978380. The cubic root of 103208796 is about 469.0713457351.

The spelling of 103208796 in words is "one hundred three million, two hundred eight thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 31 36 54 58 62 87 93 108 116 124 174 186 261 279 348 372 522 558 783 837 899 1044 1063 1116 1566 1674 1798 2126 2697 3132 3189 3348 3596 4252 5394 6378 8091 9567 10788 12756 16182 19134 24273 28701 30827 32364 32953 38268 48546 57402 61654 65906 92481 97092 98859 114804 123308 131812 184962 197718 277443 296577 369924 395436 554886 593154 832329 889731 955637 1109772 1186308 1664658 1779462 1911274 2866911 3329316 3558924 3822548 5733822 8600733 11467644 17201466 25802199 34402932 51604398 103208796