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134416140 = 223523257379
BaseRepresentation
bin10000000001100…
…00011100001100
3100100221001021120
420000300130030
5233402304030
621201000540
73221342535
oct1000603414
9310831246
10134416140
1169968921
1239023150
1321b038a1
1413bcd68c
15bc02010
hex803070c

134416140 has 96 divisors (see below), whose sum is σ = 395297280. Its totient is φ = 34062336.

The previous prime is 134416111. The next prime is 134416147. The reversal of 134416140 is 41614431.

It is a self number, because there is not a number n which added to its sum of digits gives 134416140.

It is not an unprimeable number, because it can be changed into a prime (134416147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354471 + ... + 354849.

It is an arithmetic number, because the mean of its divisors is an integer number (4117680).

Almost surely, 2134416140 is an apocalyptic number.

134416140 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 134416140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197648640).

134416140 is an abundant number, since it is smaller than the sum of its proper divisors (260881140).

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

134416140 is a wasteful number, since it uses less digits than its factorization.

134416140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 134416140 is about 11593.7974796871. The cubic root of 134416140 is about 512.2521696859.

The spelling of 134416140 in words is "one hundred thirty-four million, four hundred sixteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 257 276 345 379 460 514 690 758 771 1028 1137 1285 1380 1516 1542 1895 2274 2570 3084 3790 3855 4548 5140 5685 5911 7580 7710 8717 11370 11822 15420 17434 17733 22740 23644 26151 29555 34868 35466 43585 52302 59110 70932 87170 88665 97403 104604 118220 130755 174340 177330 194806 261510 292209 354660 389612 487015 523020 584418 974030 1168836 1461045 1948060 2240269 2922090 4480538 5844180 6720807 8961076 11201345 13441614 22402690 26883228 33604035 44805380 67208070 134416140