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89995400 = 235211192153
BaseRepresentation
bin1010101110100…
…11100010001000
320021100020110222
411113103202020
5141014323100
612532525212
72141643155
oct527234210
9207306428
1089995400
1146888970
1226180808
131584cb21
14bd4922c
157d7a485
hex55d3888

89995400 has 96 divisors (see below), whose sum is σ = 240386400. Its totient is φ = 30988800.

The previous prime is 89995393. The next prime is 89995403. The reversal of 89995400 is 459998.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (89995403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40724 + ... + 42876.

It is an arithmetic number, because the mean of its divisors is an integer number (2504025).

Almost surely, 289995400 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 89995400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120193200).

89995400 is an abundant number, since it is smaller than the sum of its proper divisors (150391000).

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

89995400 is a wasteful number, since it uses less digits than its factorization.

89995400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 44.

The square root of 89995400 is about 9486.5905361199. The cubic root of 89995400 is about 448.1328395398.

The spelling of 89995400 in words is "eighty-nine million, nine hundred ninety-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 152 190 200 209 220 275 380 418 440 475 550 760 836 950 1045 1100 1672 1900 2090 2153 2200 3800 4180 4306 5225 8360 8612 10450 10765 17224 20900 21530 23683 40907 41800 43060 47366 53825 81814 86120 94732 107650 118415 163628 189464 204535 215300 236830 327256 409070 430600 449977 473660 592075 818140 899954 947320 1022675 1184150 1636280 1799908 2045350 2249885 2368300 3599816 4090700 4499770 4736600 8181400 8999540 11249425 17999080 22498850 44997700 89995400