Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
89000640 = 2633510301
BaseRepresentation
bin1010100111000…
…00101011000000
320012110200221000
411103200223000
5140241010030
612455332000
72130331041
oct523405300
9205420830
1089000640
1146269553
1225981000
1315592101
14bb6a8c8
157c30860
hex54e0ac0

89000640 has 112 divisors (see below), whose sum is σ = 314004960. Its totient is φ = 23731200.

The previous prime is 89000633. The next prime is 89000671. The reversal of 89000640 is 4600098.

It is a super-2 number, since 2×890006402 = 15842227840819200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3490 + ... + 13790.

Almost surely, 289000640 is an apocalyptic number.

89000640 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 89000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157002480).

89000640 is an abundant number, since it is smaller than the sum of its proper divisors (225004320).

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

89000640 is a wasteful number, since it uses less digits than its factorization.

89000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10327 (or 10311 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 89000640 is about 9434.0150519278. The cubic root of 89000640 is about 446.4755797570.

The spelling of 89000640 in words is "eighty-nine million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 10301 20602 30903 41204 51505 61806 82408 92709 103010 123612 154515 164816 185418 206020 247224 278127 309030 329632 370836 412040 463545 494448 556254 618060 659264 741672 824080 927090 988896 1112508 1236120 1390635 1483344 1648160 1854180 1977792 2225016 2472240 2781270 2966688 3296320 3708360 4450032 4944480 5562540 5933376 7416720 8900064 9888960 11125080 14833440 17800128 22250160 29666880 44500320 89000640