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123247072 = 25131931503
BaseRepresentation
bin1110101100010…
…01100111100000
322120220121012101
413112021213200
5223022401242
620121340144
73024403624
oct726114740
9276817171
10123247072
116362a393
1235337654
131c6c2b80
1412523184
15ac479b7
hex75899e0

123247072 has 96 divisors (see below), whose sum is σ = 284497920. Its totient is φ = 52047360.

The previous prime is 123247067. The next prime is 123247079. The reversal of 123247072 is 270742321.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 123247072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123247079) 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 15 ways as a sum of consecutive naturals, for example, 244773 + ... + 245275.

It is an arithmetic number, because the mean of its divisors is an integer number (2963520).

Almost surely, 2123247072 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 123247072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142248960).

123247072 is an abundant number, since it is smaller than the sum of its proper divisors (161250848).

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

123247072 is a wasteful number, since it uses less digits than its factorization.

123247072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 123247072 is about 11101.6697843162. The cubic root of 123247072 is about 497.6517513888.

Adding to 123247072 its reverse (270742321), we get a palindrome (393989393).

The spelling of 123247072 in words is "one hundred twenty-three million, two hundred forty-seven thousand, seventy-two".

Divisors: 1 2 4 8 13 16 19 26 31 32 38 52 62 76 104 124 152 208 247 248 304 403 416 494 496 503 589 608 806 988 992 1006 1178 1612 1976 2012 2356 3224 3952 4024 4712 6448 6539 7657 7904 8048 9424 9557 12896 13078 15314 15593 16096 18848 19114 26156 30628 31186 38228 52312 61256 62372 76456 104624 122512 124241 124744 152912 202709 209248 245024 248482 249488 296267 305824 405418 496964 498976 592534 810836 993928 1185068 1621672 1987856 2370136 3243344 3851471 3975712 4740272 6486688 7702942 9480544 15405884 30811768 61623536 123247072