Search a number
-
+
89982620 = 22573131009
BaseRepresentation
bin1010101110100…
…00011010011100
320021022120221122
411113100122130
5141013420440
612532350112
72141561000
oct527203234
9207276848
1089982620
114687a302
1226175338
1315847070
14bd44700
157d767b5
hex55d069c

89982620 has 96 divisors (see below), whose sum is σ = 237552000. Its totient is φ = 28449792.

The previous prime is 89982593. The next prime is 89982637. The reversal of 89982620 is 2628998.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88676 + ... + 89684.

It is an arithmetic number, because the mean of its divisors is an integer number (2474500).

Almost surely, 289982620 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 89982620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118776000).

89982620 is an abundant number, since it is smaller than the sum of its proper divisors (147569380).

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

89982620 is a wasteful number, since it uses less digits than its factorization.

89982620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The square root of 89982620 is about 9485.9169298492. The cubic root of 89982620 is about 448.1116258303. Note that the first 3 decimals are identical.

The spelling of 89982620 in words is "eighty-nine million, nine hundred eighty-two thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 343 364 455 490 637 686 910 980 1009 1274 1372 1715 1820 2018 2548 3185 3430 4036 4459 5045 6370 6860 7063 8918 10090 12740 13117 14126 17836 20180 22295 26234 28252 35315 44590 49441 52468 65585 70630 89180 91819 98882 131170 141260 183638 197764 247205 262340 346087 367276 459095 494410 642733 692174 918190 988820 1285466 1384348 1730435 1836380 2570932 3213665 3460870 4499131 6427330 6921740 8998262 12854660 17996524 22495655 44991310 89982620