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134134680 = 23351958831
BaseRepresentation
bin1111111111010…
…11101110011000
3100100101202012010
413333223232120
5233314302210
621150545520
73216061131
oct777535630
9310352163
10134134680
1169796409
1238b082a0
1321a35744
1413b58c88
15bb98920
hex7febb98

134134680 has 64 divisors (see below), whose sum is σ = 423590400. Its totient is φ = 33886080.

The previous prime is 134134639. The next prime is 134134703. The reversal of 134134680 is 86431431.

It is a super-2 number, since 2×1341346802 = 35984224757404800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27136 + ... + 31695.

It is an arithmetic number, because the mean of its divisors is an integer number (6618600).

Almost surely, 2134134680 is an apocalyptic number.

134134680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134134680 is an abundant number, since it is smaller than the sum of its proper divisors (289455720).

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

134134680 is a wasteful number, since it uses less digits than its factorization.

134134680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58864 (or 58860 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 134134680 is about 11581.6527317996. The cubic root of 134134680 is about 511.8943772193.

The spelling of 134134680 in words is "one hundred thirty-four million, one hundred thirty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 58831 117662 176493 235324 294155 352986 470648 588310 705972 882465 1117789 1176620 1411944 1764930 2235578 2353240 3353367 3529860 4471156 5588945 6706734 7059720 8942312 11177890 13413468 16766835 22355780 26826936 33533670 44711560 67067340 134134680