Search a number
-
+
89215140 = 22357375741
BaseRepresentation
bin1010101000101…
…01000010100100
320012212121011110
411110111002210
5140314341030
612504105020
72132213310
oct524250244
9205777143
1089215140
11463a5723
1225a65170
1315638931
14bbc4b40
157c741b0
hex55150a4

89215140 has 96 divisors (see below), whose sum is σ = 293255424. Its totient is φ = 19837440.

The previous prime is 89215129. The next prime is 89215151. The reversal of 89215140 is 4151298.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (89215129) and next prime (89215151).

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

It is a junction number, because it is equal to n+sod(n) for n = 89215098 and 89215107.

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, 12670 + ... + 18410.

It is an arithmetic number, because the mean of its divisors is an integer number (3054744).

Almost surely, 289215140 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 89215140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146627712).

89215140 is an abundant number, since it is smaller than the sum of its proper divisors (204040284).

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

89215140 is a wasteful number, since it uses less digits than its factorization.

89215140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5797 (or 5795 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 89215140 is about 9445.3766468045. The cubic root of 89215140 is about 446.8339748473.

The spelling of 89215140 in words is "eighty-nine million, two hundred fifteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 777 1036 1110 1295 1554 2220 2590 3108 3885 5180 5741 7770 11482 15540 17223 22964 28705 34446 40187 57410 68892 80374 86115 114820 120561 160748 172230 200935 212417 241122 344460 401870 424834 482244 602805 637251 803740 849668 1062085 1205610 1274502 1486919 2124170 2411220 2549004 2973838 3186255 4248340 4460757 5947676 6372510 7434595 8921514 12745020 14869190 17843028 22303785 29738380 44607570 89215140