Search a number
-
+
89196120 = 23335136353
BaseRepresentation
bin1010101000100…
…00011001011000
320012211122002000
411110100121120
5140313233440
612503441000
72132103666
oct524203130
9205748060
1089196120
1146392402
1225a56160
1315630090
14bbbbc36
157c6d730
hex5510658

89196120 has 128 divisors (see below), whose sum is σ = 320241600. Its totient is φ = 21952512.

The previous prime is 89196109. The next prime is 89196137. The reversal of 89196120 is 2169198.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 10864 + ... + 17216.

Almost surely, 289196120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89196120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160120800).

89196120 is an abundant number, since it is smaller than the sum of its proper divisors (231045480).

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

89196120 is a wasteful number, since it uses less digits than its factorization.

89196120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6386 (or 6376 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 89196120 is about 9444.3697513386. The cubic root of 89196120 is about 446.8022187043.

The spelling of 89196120 in words is "eighty-nine million, one hundred ninety-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 6353 7020 12706 14040 19059 25412 31765 38118 50824 57177 63530 76236 82589 95295 114354 127060 152472 165178 171531 190590 228708 247767 254120 285885 330356 343062 381180 412945 457416 495534 571770 660712 686124 743301 762360 825890 857655 991068 1143540 1238835 1372248 1486602 1651780 1715310 1982136 2229903 2287080 2477670 2973204 3303560 3430620 3716505 4459806 4955340 5946408 6861240 7433010 8919612 9910680 11149515 14866020 17839224 22299030 29732040 44598060 89196120