Search a number
-
+
103906272 = 2532347059
BaseRepresentation
bin1100011000101…
…11101111100000
321020111222121110
412030113233200
5203100000042
614151023320
72401121511
oct614275740
9236458543
10103906272
115371a358
122a96ab40
13186b0802
14db2aa08
1591c709c
hex6317be0

103906272 has 48 divisors (see below), whose sum is σ = 284618880. Its totient is φ = 33128832.

The previous prime is 103906247. The next prime is 103906273. The reversal of 103906272 is 272609301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103906273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21322 + ... + 25737.

It is an arithmetic number, because the mean of its divisors is an integer number (5929560).

Almost surely, 2103906272 is an apocalyptic number.

103906272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103906272 is an abundant number, since it is smaller than the sum of its proper divisors (180712608).

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

103906272 is a wasteful number, since it uses less digits than its factorization.

103906272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47095 (or 47087 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 103906272 is about 10193.4425980627. The cubic root of 103906272 is about 470.1256220717.

The spelling of 103906272 in words is "one hundred three million, nine hundred six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 47059 94118 141177 188236 282354 376472 564708 752944 1082357 1129416 1505888 2164714 2258832 3247071 4329428 4517664 6494142 8658856 12988284 17317712 25976568 34635424 51953136 103906272