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129948 = 223721317
BaseRepresentation
bin11111101110011100
320121020220
4133232130
513124243
62441340
71050600
oct375634
9217226
10129948
11896a5
1263250
13471c0
1435500
1528783
hex1fb9c

129948 has 72 divisors (see below), whose sum is σ = 402192. Its totient is φ = 32256.

The previous prime is 129937. The next prime is 129953. The reversal of 129948 is 849921.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7636 + ... + 7652.

It is an arithmetic number, because the mean of its divisors is an integer number (5586).

2129948 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 129948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201096).

129948 is an abundant number, since it is smaller than the sum of its proper divisors (272244).

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

129948 is a wasteful number, since it uses less digits than its factorization.

129948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 42 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 129948 is about 360.4830093083. The cubic root of 129948 is about 50.6512148942.

The spelling of 129948 in words is "one hundred twenty-nine thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 49 51 52 68 78 84 91 98 102 119 147 156 182 196 204 221 238 273 294 357 364 442 476 546 588 637 663 714 833 884 1092 1274 1326 1428 1547 1666 1911 2499 2548 2652 3094 3332 3822 4641 4998 6188 7644 9282 9996 10829 18564 21658 32487 43316 64974 129948