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103016472 = 233133110651
BaseRepresentation
bin1100010001111…
…10100000011000
321011211210000220
412020332200120
5202333011342
614120000040
72360424366
oct610764030
9234753026
10103016472
1153171889
122a600020
131845b7c0
14d978636
15909d5ec
hex623e818

103016472 has 64 divisors (see below), whose sum is σ = 286325760. Its totient is φ = 30672000.

The previous prime is 103016437. The next prime is 103016479. The reversal of 103016472 is 274610301.

It is a super-2 number, since 2×1030164722 = 21224787006653568, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103016479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4347 + ... + 14997.

It is an arithmetic number, because the mean of its divisors is an integer number (4473840).

Almost surely, 2103016472 is an apocalyptic number.

103016472 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 103016472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143162880).

103016472 is an abundant number, since it is smaller than the sum of its proper divisors (183309288).

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

103016472 is a wasteful number, since it uses less digits than its factorization.

103016472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10704 (or 10700 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 103016472 is about 10149.7030498434. The cubic root of 103016472 is about 468.7798015542.

Adding to 103016472 its reverse (274610301), we get a palindrome (377626773).

The spelling of 103016472 in words is "one hundred three million, sixteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1209 1612 2418 3224 4836 9672 10651 21302 31953 42604 63906 85208 127812 138463 255624 276926 330181 415389 553852 660362 830778 990543 1107704 1320724 1661556 1981086 2641448 3323112 3962172 4292353 7924344 8584706 12877059 17169412 25754118 34338824 51508236 103016472