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134120880 = 24335312003
BaseRepresentation
bin1111111111010…
…00010110110000
3100100101001021000
413333220112300
5233313332010
621150402000
73216002655
oct777502660
9310331230
10134120880
1169787003
1238b00300
1321a2c38a
1413b53c2c
15bb947c0
hex7fe85b0

134120880 has 160 divisors (see below), whose sum is σ = 477112320. Its totient is φ = 34594560.

The previous prime is 134120879. The next prime is 134120891. The reversal of 134120880 is 88021431.

134120880 = 20652 + 20662 + ... + 20952.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65959 + ... + 67961.

It is an arithmetic number, because the mean of its divisors is an integer number (2981952).

Almost surely, 2134120880 is an apocalyptic number.

134120880 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 134120880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238556160).

134120880 is an abundant number, since it is smaller than the sum of its proper divisors (342991440).

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

134120880 is a wasteful number, since it uses less digits than its factorization.

134120880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 134120880 is about 11581.0569465831. The cubic root of 134120880 is about 511.8768217676.

The spelling of 134120880 in words is "one hundred thirty-four million, one hundred twenty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 90 93 108 120 124 135 144 155 180 186 216 240 248 270 279 310 360 372 432 465 496 540 558 620 720 744 837 930 1080 1116 1240 1395 1488 1674 1860 2003 2160 2232 2480 2790 3348 3720 4006 4185 4464 5580 6009 6696 7440 8012 8370 10015 11160 12018 13392 16024 16740 18027 20030 22320 24036 30045 32048 33480 36054 40060 48072 54081 60090 62093 66960 72108 80120 90135 96144 108162 120180 124186 144216 160240 180270 186279 216324 240360 248372 270405 288432 310465 360540 372558 432648 480720 496744 540810 558837 620930 721080 745116 865296 931395 993488 1081620 1117674 1241860 1442160 1490232 1676511 1862790 2163240 2235348 2483720 2794185 2980464 3353022 3725580 4326480 4470696 4967440 5588370 6706044 7451160 8382555 8941392 11176740 13412088 14902320 16765110 22353480 26824176 33530220 44706960 67060440 134120880