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128827980 = 2232519139271
BaseRepresentation
bin1111010110111…
…00001001001100
322222102010202200
413223130021030
5230434443410
620441121500
73123006531
oct753341114
9288363680
10128827980
11667a1406
1237189290
13208c8198
1413176d88
15b49b3c0
hex7adc24c

128827980 has 144 divisors (see below), whose sum is σ = 415833600. Its totient is φ = 32192640.

The previous prime is 128827943. The next prime is 128828003. The reversal of 128827980 is 89728821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 475245 + ... + 475515.

Almost surely, 2128827980 is an apocalyptic number.

128827980 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 128827980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207916800).

128827980 is an abundant number, since it is smaller than the sum of its proper divisors (287005620).

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

128827980 is a wasteful number, since it uses less digits than its factorization.

128827980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 128827980 is about 11350.2414071243. The cubic root of 128827980 is about 505.0527409544.

The spelling of 128827980 in words is "one hundred twenty-eight million, eight hundred twenty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 139 171 180 190 228 271 278 285 342 380 417 542 556 570 684 695 813 834 855 1084 1140 1251 1355 1390 1626 1668 1710 2085 2439 2502 2641 2710 2780 3252 3420 4065 4170 4878 5004 5149 5282 5420 6255 7923 8130 8340 9756 10298 10564 12195 12510 13205 15447 15846 16260 20596 23769 24390 25020 25745 26410 30894 31692 37669 39615 46341 47538 48780 51490 52820 61788 75338 77235 79230 92682 95076 102980 113007 118845 150676 154470 158460 185364 188345 226014 231705 237690 308940 339021 376690 452028 463410 475380 565035 678042 715711 753380 926820 1130070 1356084 1431422 1695105 2147133 2260140 2862844 3390210 3578555 4294266 6441399 6780420 7157110 8588532 10735665 12882798 14314220 21471330 25765596 32206995 42942660 64413990 128827980