Search a number
-
+
123010048 = 21071312
BaseRepresentation
bin1110101010011…
…11110000000000
322120110120001201
413111033300000
5222442310143
620112310544
73022365610
oct725176000
9276416051
10123010048
11634882a7
1235242454
131c63c015
14124a0a40
15abec64d
hex754fc00

123010048 has 66 divisors (see below), whose sum is σ = 283190168. Its totient is φ = 52316160.

The previous prime is 123010039. The next prime is 123010087. The reversal of 123010048 is 840010321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 938943 + ... + 939073.

Almost surely, 2123010048 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 123010048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141595084).

123010048 is an abundant number, since it is smaller than the sum of its proper divisors (160180120).

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

123010048 is an frugal number, since it uses more digits than its factorization.

123010048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 123010048 is about 11090.9894959828. The cubic root of 123010048 is about 497.3325251292.

Adding to 123010048 its reverse (840010321), we get a palindrome (963020369).

The spelling of 123010048 in words is "one hundred twenty-three million, ten thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 131 224 256 262 448 512 524 896 917 1024 1048 1792 1834 2096 3584 3668 4192 7168 7336 8384 14672 16768 17161 29344 33536 34322 58688 67072 68644 117376 120127 134144 137288 234752 240254 274576 469504 480508 549152 939008 961016 1098304 1922032 2196608 3844064 4393216 7688128 8786432 15376256 17572864 30752512 61505024 123010048