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123801472 = 274383271
BaseRepresentation
bin1110110000100…
…00111110000000
322121221202200201
413120100332000
5223143121342
620141254544
73032203144
oct730207600
9277852621
10123801472
1163978973
1235564454
131c858312
1412629224
15ad06db7
hex7610f80

123801472 has 64 divisors (see below), whose sum is σ = 256354560. Its totient is φ = 59512320.

The previous prime is 123801467. The next prime is 123801499. The reversal of 123801472 is 274108321.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 123801472.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 456697 + ... + 456967.

It is an arithmetic number, because the mean of its divisors is an integer number (4005540).

Almost surely, 2123801472 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 123801472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128177280).

123801472 is an abundant number, since it is smaller than the sum of its proper divisors (132553088).

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

123801472 is an equidigital number, since it uses as much as digits as its factorization.

123801472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 123801472 is about 11126.6109844822. The cubic root of 123801472 is about 498.3968278386.

Adding to 123801472 its reverse (274108321), we get a palindrome (397909793).

The spelling of 123801472 in words is "one hundred twenty-three million, eight hundred one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 43 64 83 86 128 166 172 271 332 344 542 664 688 1084 1328 1376 2168 2656 2752 3569 4336 5312 5504 7138 8672 10624 11653 14276 17344 22493 23306 28552 34688 44986 46612 57104 89972 93224 114208 179944 186448 228416 359888 372896 456832 719776 745792 967199 1439552 1491584 1934398 2879104 3868796 7737592 15475184 30950368 61900736 123801472