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123798948 = 223713731553
BaseRepresentation
bin1110110000100…
…00010110100100
322121221122020020
413120100112210
5223143031243
620141235140
73032162610
oct730202644
9277848206
10123798948
1163976a89
1235562ab0
131c857120
1412628340
15ad06283
hex76105a4

123798948 has 96 divisors (see below), whose sum is σ = 360627456. Its totient is φ = 32182272.

The previous prime is 123798943. The next prime is 123798953. The reversal of 123798948 is 849897321.

It is an interprime number because it is at equal distance from previous prime (123798943) and next prime (123798953).

It is a self number, because there is not a number n which added to its sum of digits gives 123798948.

It is not an unprimeable number, because it can be changed into a prime (123798943) 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 31 ways as a sum of consecutive naturals, for example, 78940 + ... + 80492.

It is an arithmetic number, because the mean of its divisors is an integer number (3756536).

Almost surely, 2123798948 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 123798948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180313728).

123798948 is an abundant number, since it is smaller than the sum of its proper divisors (236828508).

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

123798948 is a wasteful number, since it uses less digits than its factorization.

123798948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1651 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 123798948 is about 11126.4975621262. The cubic root of 123798948 is about 498.3934407972.

The spelling of 123798948 in words is "one hundred twenty-three million, seven hundred ninety-eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 73 78 84 91 146 156 182 219 273 292 364 438 511 546 876 949 1022 1092 1533 1553 1898 2044 2847 3066 3106 3796 4659 5694 6132 6212 6643 9318 10871 11388 13286 18636 19929 20189 21742 26572 32613 39858 40378 43484 60567 65226 79716 80756 113369 121134 130452 141323 226738 242268 282646 340107 423969 453476 565292 680214 793583 847938 1360428 1473797 1587166 1695876 2380749 2947594 3174332 4421391 4761498 5895188 8842782 9522996 10316579 17685564 20633158 30949737 41266316 61899474 123798948