Search a number
-
+
103351072 = 2511893299
BaseRepresentation
bin1100010100100…
…00001100100000
321012110210000111
412022100030200
5202424213242
614131101104
72363320036
oct612201440
9235423014
10103351072
1153380210
122a741794
1318547ba6
14da24556
159117817
hex6290320

103351072 has 48 divisors (see below), whose sum is σ = 224532000. Its totient is φ = 46435840.

The previous prime is 103351069. The next prime is 103351091. The reversal of 103351072 is 270153301.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29679 + ... + 32977.

It is an arithmetic number, because the mean of its divisors is an integer number (4677750).

Almost surely, 2103351072 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 103351072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112266000).

103351072 is an abundant number, since it is smaller than the sum of its proper divisors (121180928).

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

103351072 is a wasteful number, since it uses less digits than its factorization.

103351072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3409 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 103351072 is about 10166.1729279016. The cubic root of 103351072 is about 469.2867891028.

The spelling of 103351072 in words is "one hundred three million, three hundred fifty-one thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 89 176 178 352 356 712 979 1424 1958 2848 3299 3916 6598 7832 13196 15664 26392 31328 36289 52784 72578 105568 145156 290312 293611 580624 587222 1161248 1174444 2348888 3229721 4697776 6459442 9395552 12918884 25837768 51675536 103351072