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89240320 = 2851331173
BaseRepresentation
bin1010101000110…
…11001100000000
320012220212201001
411110123030000
5140321142240
612504421344
72132346601
oct524331400
9205825631
1089240320
1146412634
1225a77854
1315647230
14bbcdda8
157c7b89a
hex551b300

89240320 has 144 divisors (see below), whose sum is σ = 239000832. Its totient is φ = 31703040.

The previous prime is 89240317. The next prime is 89240323. The reversal of 89240320 is 2304298.

It is an interprime number because it is at equal distance from previous prime (89240317) and next prime (89240323).

It is not an unprimeable number, because it can be changed into a prime (89240323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515754 + ... + 515926.

It is an arithmetic number, because the mean of its divisors is an integer number (1659728).

Almost surely, 289240320 is an apocalyptic number.

89240320 is a gapful number since it is divisible by the number (80) 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 89240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119500416).

89240320 is an abundant number, since it is smaller than the sum of its proper divisors (149760512).

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

89240320 is a wasteful number, since it uses less digits than its factorization.

89240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 89240320 is about 9446.7094800253. The cubic root of 89240320 is about 446.8760088979.

The spelling of 89240320 in words is "eighty-nine million, two hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 64 65 80 104 124 128 130 155 160 173 208 248 256 260 310 320 346 403 416 496 520 620 640 692 806 832 865 992 1040 1240 1280 1384 1612 1664 1730 1984 2015 2080 2249 2480 2768 3224 3328 3460 3968 4030 4160 4498 4960 5363 5536 6448 6920 7936 8060 8320 8996 9920 10726 11072 11245 12896 13840 16120 16640 17992 19840 21452 22144 22490 25792 26815 27680 32240 35984 39680 42904 44288 44980 51584 53630 55360 64480 69719 71968 85808 89960 103168 107260 110720 128960 139438 143936 171616 179920 214520 221440 257920 278876 287872 343232 348595 359840 429040 515840 557752 575744 686464 697190 719680 858080 1115504 1372928 1394380 1439360 1716160 2231008 2788760 2878720 3432320 4462016 5577520 6864640 8924032 11155040 17848064 22310080 44620160 89240320