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103032144 = 24322113391
BaseRepresentation
bin1100010010000…
…10010101010000
321011212120112100
412021002111100
5202334012034
614120200400
72360521155
oct611022520
9234776470
10103032144
1153182636
122a609100
1318465987
14d98022c
1590a3099
hex6242550

103032144 has 60 divisors (see below), whose sum is σ = 289798912. Its totient is φ = 34171200.

The previous prime is 103032143. The next prime is 103032187. The reversal of 103032144 is 441230301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103032143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28689 + ... + 32079.

Almost surely, 2103032144 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 103032144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144899456).

103032144 is an abundant number, since it is smaller than the sum of its proper divisors (186766768).

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

103032144 is a wasteful number, since it uses less digits than its factorization.

103032144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3616 (or 3607 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 103032144 is about 10150.4750627742. The cubic root of 103032144 is about 468.8035723304.

Adding to 103032144 its reverse (441230301), we get a palindrome (544262445).

The spelling of 103032144 in words is "one hundred three million, thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 211 422 633 844 1266 1688 1899 2532 3376 3391 3798 5064 6782 7596 10128 10173 13564 15192 20346 27128 30384 30519 40692 54256 61038 81384 122076 162768 244152 488304 715501 1431002 2146503 2862004 4293006 5724008 6439509 8586012 11448016 12879018 17172024 25758036 34344048 51516072 103032144