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89016420 = 223517197443
BaseRepresentation
bin1010100111001…
…00100001100100
320012111111120110
411103210201210
5140242011140
612455533020
72130425043
oct523444144
9205444513
1089016420
114627a399
122598a170
131559934c
14bb7255a
157c35380
hex54e4864

89016420 has 96 divisors (see below), whose sum is σ = 265845888. Its totient is φ = 22177792.

The previous prime is 89016409. The next prime is 89016439. The reversal of 89016420 is 2461098.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200719 + ... + 201161.

It is an arithmetic number, because the mean of its divisors is an integer number (2769228).

Almost surely, 289016420 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 89016420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132922944).

89016420 is an abundant number, since it is smaller than the sum of its proper divisors (176829468).

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

89016420 is a wasteful number, since it uses less digits than its factorization.

89016420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 89016420 is about 9434.8513501804. The cubic root of 89016420 is about 446.5019652163.

The spelling of 89016420 in words is "eighty-nine million, sixteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 197 204 255 340 394 443 510 591 788 886 985 1020 1182 1329 1772 1970 2215 2364 2658 2955 3349 3940 4430 5316 5910 6645 6698 7531 8860 10047 11820 13290 13396 15062 16745 20094 22593 26580 30124 33490 37655 40188 45186 50235 66980 75310 87271 90372 100470 112965 150620 174542 200940 225930 261813 349084 436355 451860 523626 872710 1047252 1309065 1483607 1745420 2618130 2967214 4450821 5236260 5934428 7418035 8901642 14836070 17803284 22254105 29672140 44508210 89016420