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89097400 = 23527232767
BaseRepresentation
bin1010100111110…
…00010010111000
320012122121122201
411103320102320
5140302104100
612501355544
72131213120
oct523702270
9205577581
1089097400
1146325217
1225a08bb4
13155c7172
14bb93c80
157c4e36a
hex54f84b8

89097400 has 96 divisors (see below), whose sum is σ = 247127040. Its totient is φ = 29208960.

The previous prime is 89097397. The next prime is 89097401. The reversal of 89097400 is 479098.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 89097400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89097401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 30817 + ... + 33583.

It is an arithmetic number, because the mean of its divisors is an integer number (2574240).

Almost surely, 289097400 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 89097400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123563520).

89097400 is an abundant number, since it is smaller than the sum of its proper divisors (158029640).

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

89097400 is a wasteful number, since it uses less digits than its factorization.

89097400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 89097400 is about 9439.1419101526. The cubic root of 89097400 is about 446.6373214057.

The spelling of 89097400 in words is "eighty-nine million, ninety-seven thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 35 40 46 50 56 70 92 100 115 140 161 175 184 200 230 280 322 350 460 575 644 700 805 920 1150 1288 1400 1610 2300 2767 3220 4025 4600 5534 6440 8050 11068 13835 16100 19369 22136 27670 32200 38738 55340 63641 69175 77476 96845 110680 127282 138350 154952 193690 254564 276700 318205 387380 445487 484225 509128 553400 636410 774760 890974 968450 1272820 1591025 1781948 1936900 2227435 2545640 3182050 3563896 3873800 4454870 6364100 8909740 11137175 12728200 17819480 22274350 44548700 89097400