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128939520 = 2935103163
BaseRepresentation
bin1111010111101…
…11011000000000
322222121210202210
413223313120000
5231002031040
620443342120
73123652653
oct753673000
9288553683
10128939520
1166868196
1237221940
1320936b98
14131a589a
15b4be480
hex7af7600

128939520 has 160 divisors (see below), whose sum is σ = 418758912. Its totient is φ = 33841152.

The previous prime is 128939519. The next prime is 128939521. The reversal of 128939520 is 25939821.

It is an interprime number because it is at equal distance from previous prime (128939519) and next prime (128939521).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128939521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 790959 + ... + 791121.

Almost surely, 2128939520 is an apocalyptic number.

128939520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128939520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209379456).

128939520 is an abundant number, since it is smaller than the sum of its proper divisors (289819392).

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

128939520 is a wasteful number, since it uses less digits than its factorization.

128939520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 128939520 is about 11355.1538959188. The cubic root of 128939520 is about 505.1984580897.

The spelling of 128939520 in words is "one hundred twenty-eight million, nine hundred thirty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 103 120 128 160 163 192 206 240 256 309 320 326 384 412 480 489 512 515 618 640 652 768 815 824 960 978 1030 1236 1280 1304 1536 1545 1630 1648 1920 1956 2060 2445 2472 2560 2608 3090 3260 3296 3840 3912 4120 4890 4944 5216 6180 6520 6592 7680 7824 8240 9780 9888 10432 12360 13040 13184 15648 16480 16789 19560 19776 20864 24720 26080 26368 31296 32960 33578 39120 39552 41728 49440 50367 52160 52736 62592 65920 67156 78240 79104 83456 83945 98880 100734 104320 125184 131840 134312 156480 158208 167890 197760 201468 208640 250368 251835 263680 268624 312960 335780 395520 402936 417280 503670 537248 625920 671560 791040 805872 1007340 1074496 1251840 1343120 1611744 2014680 2148992 2686240 3223488 4029360 4297984 5372480 6446976 8058720 8595968 10744960 12893952 16117440 21489920 25787904 32234880 42979840 64469760 128939520