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5103072 = 2532132947
BaseRepresentation
bin10011011101110111100000
3100121021002200
4103131313200
52301244242
6301213200
761242522
oct23356740
910537080
105103072
112976017
121861200
131098990
1496ba12
156ac04c
hex4ddde0

5103072 has 144 divisors (see below), whose sum is σ = 16511040. Its totient is φ = 1483776.

The previous prime is 5103071. The next prime is 5103083. The reversal of 5103072 is 2703015.

It is a tau number, because it is divible by the number of its divisors (144).

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 (5103071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108553 + ... + 108599.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

Almost surely, 25103072 is an apocalyptic number.

5103072 is a gapful number since it is divisible by the number (52) 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 5103072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255520).

5103072 is an abundant number, since it is smaller than the sum of its proper divisors (11407968).

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

5103072 is a wasteful number, since it uses less digits than its factorization.

5103072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 5103072 is about 2258.9980079672. The cubic root of 5103072 is about 172.1646161520.

Adding to 5103072 its reverse (2703015), we get a palindrome (7806087).

The spelling of 5103072 in words is "five million, one hundred three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 32 36 39 47 48 52 58 72 78 87 94 96 104 116 117 141 144 156 174 188 208 232 234 261 282 288 312 348 376 377 416 423 464 468 522 564 611 624 696 752 754 846 928 936 1044 1128 1131 1222 1248 1363 1392 1504 1508 1692 1833 1872 2088 2256 2262 2444 2726 2784 3016 3384 3393 3666 3744 4089 4176 4512 4524 4888 5452 5499 6032 6768 6786 7332 8178 8352 9048 9776 10904 10998 12064 12267 13536 13572 14664 16356 17719 18096 19552 21808 21996 24534 27144 29328 32712 35438 36192 43616 43992 49068 53157 54288 58656 65424 70876 87984 98136 106314 108576 130848 141752 159471 175968 196272 212628 283504 318942 392544 425256 567008 637884 850512 1275768 1701024 2551536 5103072