Search a number
-
+
134332980 = 223517261127
BaseRepresentation
bin10000000000111…
…00001000110100
3100100202211012120
420000130020310
5233342123410
621155115540
73220545225
oct1000341064
9310684176
10134332980
11699113a1
1238ba2bb0
1321aa4a92
1413bab24c
15bbd7570
hex801c234

134332980 has 144 divisors (see below), whose sum is σ = 409307136. Its totient is φ = 32901120.

The previous prime is 134332969. The next prime is 134333011. The reversal of 134332980 is 89233431.

It is a happy number.

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, 1057677 + ... + 1057803.

Almost surely, 2134332980 is an apocalyptic number.

134332980 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 134332980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204653568).

134332980 is an abundant number, since it is smaller than the sum of its proper divisors (274974156).

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

134332980 is a wasteful number, since it uses less digits than its factorization.

134332980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 134332980 is about 11590.2105244038. The cubic root of 134332980 is about 512.1465085691.

The spelling of 134332980 in words is "one hundred thirty-four million, three hundred thirty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 61 68 85 102 122 127 170 183 204 244 254 255 289 305 340 366 381 508 510 578 610 635 732 762 867 915 1020 1037 1156 1220 1270 1445 1524 1734 1830 1905 2074 2159 2540 2890 3111 3468 3660 3810 4148 4318 4335 5185 5780 6222 6477 7620 7747 8636 8670 10370 10795 12444 12954 15494 15555 17340 17629 20740 21590 23241 25908 30988 31110 32385 35258 36703 38735 43180 46482 52887 62220 64770 70516 73406 77470 88145 92964 105774 110109 116205 129540 131699 146812 154940 176290 183515 211548 220218 232410 263398 264435 352580 367030 395097 440436 464820 526796 528870 550545 658495 734060 790194 1057740 1101090 1316990 1580388 1975485 2202180 2238883 2633980 3950970 4477766 6716649 7901940 8955532 11194415 13433298 22388830 26866596 33583245 44777660 67166490 134332980