Search a number
-
+
102247272 = 2334295441
BaseRepresentation
bin1100001100000…
…10101101101000
321010101200220000
412012002231220
5202133403042
614051303000
72351042001
oct606025550
9233350800
10102247272
1152796986
122a2aaa60
131824c65a
14d8181a8
158e9a74c
hex6182b68

102247272 has 80 divisors (see below), whose sum is σ = 296316900. Its totient is φ = 32901120.

The previous prime is 102247267. The next prime is 102247279. The reversal of 102247272 is 272742201.

It can be written as a sum of positive squares in 2 ways, for example, as 100520676 + 1726596 = 10026^2 + 1314^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102247279) 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 19 ways as a sum of consecutive naturals, for example, 16072 + ... + 21512.

Almost surely, 2102247272 is an apocalyptic number.

102247272 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 102247272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148158450).

102247272 is an abundant number, since it is smaller than the sum of its proper divisors (194069628).

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

102247272 is a wasteful number, since it uses less digits than its factorization.

102247272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5488 (or 5475 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 102247272 is about 10111.7393162601. The cubic root of 102247272 is about 467.6101289540.

Adding to 102247272 its reverse (272742201), we get a palindrome (374989473).

The spelling of 102247272 in words is "one hundred two million, two hundred forty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 261 324 348 522 648 696 783 1044 1566 2088 2349 3132 4698 5441 6264 9396 10882 16323 18792 21764 32646 43528 48969 65292 97938 130584 146907 157789 195876 293814 315578 391752 440721 473367 587628 631156 881442 946734 1175256 1262312 1420101 1762884 1893468 2840202 3525768 3786936 4260303 5680404 8520606 11360808 12780909 17041212 25561818 34082424 51123636 102247272