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1230948928 = 26117922133
BaseRepresentation
bin100100101011110…
…1100101001000000
310011210020200111001
41021113230221000
510010110331203
6322051301344
742334615246
oct11127545100
93153220431
101230948928
11581925170
122a42aa854
1316803c361
14b96a8796
157310091d
hex495eca40

1230948928 has 56 divisors (see below), whose sum is σ = 2698577280. Its totient is φ = 552414720.

The previous prime is 1230948907. The next prime is 1230948947. The reversal of 1230948928 is 8298490321.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 44550 + ... + 66682.

It is an arithmetic number, because the mean of its divisors is an integer number (48188880).

Almost surely, 21230948928 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 1230948928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349288640).

1230948928 is an abundant number, since it is smaller than the sum of its proper divisors (1467628352).

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

1230948928 is a wasteful number, since it uses less digits than its factorization.

1230948928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22235 (or 22225 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 1230948928 is about 35084.8817583870. The cubic root of 1230948928 is about 1071.7167329079.

The spelling of 1230948928 in words is "one billion, two hundred thirty million, nine hundred forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 79 88 158 176 316 352 632 704 869 1264 1738 2528 3476 5056 6952 13904 22133 27808 44266 55616 88532 177064 243463 354128 486926 708256 973852 1416512 1748507 1947704 3497014 3895408 6994028 7790816 13988056 15581632 19233577 27976112 38467154 55952224 76934308 111904448 153868616 307737232 615474464 1230948928