Search a number
-
+
103895112 = 23337791481
BaseRepresentation
bin1100011000101…
…01000001001000
321020111102022010
412030111001020
5203044120422
614150455520
72401044126
oct614250110
9236442263
10103895112
1153711a32
122a9645a0
13186a86c9
14db26916
1591c3b0c
hex6315048

103895112 has 64 divisors (see below), whose sum is σ = 270316800. Its totient is φ = 33246720.

The previous prime is 103895101. The next prime is 103895123. The reversal of 103895112 is 211598301.

It is an interprime number because it is at equal distance from previous prime (103895101) and next prime (103895123).

It is a self number, because there is not a number n which added to its sum of digits gives 103895112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69412 + ... + 70892.

It is an arithmetic number, because the mean of its divisors is an integer number (4223700).

Almost surely, 2103895112 is an apocalyptic number.

103895112 is a gapful number since it is divisible by the number (12) 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 103895112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135158400).

103895112 is an abundant number, since it is smaller than the sum of its proper divisors (166421688).

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

103895112 is a wasteful number, since it uses less digits than its factorization.

103895112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 103895112 is about 10192.8951726190. The cubic root of 103895112 is about 470.1087902685.

The spelling of 103895112 in words is "one hundred three million, eight hundred ninety-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 79 111 148 158 222 237 296 316 444 474 632 888 948 1481 1896 2923 2962 4443 5846 5924 8769 8886 11692 11848 17538 17772 23384 35076 35544 54797 70152 109594 116999 164391 219188 233998 328782 350997 438376 467996 657564 701994 935992 1315128 1403988 2807976 4328963 8657926 12986889 17315852 25973778 34631704 51947556 103895112