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134932980 = 223571321901
BaseRepresentation
bin10000000101011…
…10100111110100
3100101220022020210
420002232213310
5234020323410
621220025420
73225624420
oct1002564764
9311808223
10134932980
116a191166
1239232270
1321c54c00
1413cc5b80
15bca5220
hex80ae9f4

134932980 has 144 divisors (see below), whose sum is σ = 467800704. Its totient is φ = 28454400.

The previous prime is 134932951. The next prime is 134932997. The reversal of 134932980 is 89239431.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70030 + ... + 71930.

It is an arithmetic number, because the mean of its divisors is an integer number (3248616).

Almost surely, 2134932980 is an apocalyptic number.

134932980 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 134932980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233900352).

134932980 is an abundant number, since it is smaller than the sum of its proper divisors (332867724).

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

134932980 is a wasteful number, since it uses less digits than its factorization.

134932980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 134932980 is about 11616.0655989883. The cubic root of 134932980 is about 512.9078791454.

The spelling of 134932980 in words is "one hundred thirty-four million, nine hundred thirty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 169 182 195 210 260 273 338 364 390 420 455 507 546 676 780 845 910 1014 1092 1183 1365 1690 1820 1901 2028 2366 2535 2730 3380 3549 3802 4732 5070 5460 5703 5915 7098 7604 9505 10140 11406 11830 13307 14196 17745 19010 22812 23660 24713 26614 28515 35490 38020 39921 49426 53228 57030 66535 70980 74139 79842 98852 114060 123565 133070 148278 159684 172991 199605 247130 266140 296556 321269 345982 370695 399210 494260 518973 642538 691964 741390 798420 864955 963807 1037946 1285076 1482780 1606345 1729910 1927614 2075892 2248883 2594865 3212690 3459820 3855228 4497766 4819035 5189730 6425380 6746649 8995532 9638070 10379460 11244415 13493298 19276140 22488830 26986596 33733245 44977660 67466490 134932980