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90002160 = 24325125003
BaseRepresentation
bin1010101110101…
…01001011110000
320021100120202100
411113111023300
5141020032120
612533020400
72142001653
oct527251360
9207316670
1090002160
1146892a56
1226184700
1315852c21
14bd4b89a
157d7c490
hex55d52f0

90002160 has 60 divisors (see below), whose sum is σ = 302259672. Its totient is φ = 24000384.

The previous prime is 90002153. The next prime is 90002161. The reversal of 90002160 is 6120009.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90002161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61782 + ... + 63221.

Almost surely, 290002160 is an apocalyptic number.

90002160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90002160 is an abundant number, since it is smaller than the sum of its proper divisors (212257512).

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

90002160 is a wasteful number, since it uses less digits than its factorization.

90002160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125022 (or 125013 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 90002160 is about 9486.9468218179. The cubic root of 90002160 is about 448.1440597508.

Adding to 90002160 its reverse (6120009), we get a palindrome (96122169).

The spelling of 90002160 in words is "ninety million, two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 125003 250006 375009 500012 625015 750018 1000024 1125027 1250030 1500036 1875045 2000048 2250054 2500060 3000072 3750090 4500108 5000120 5625135 6000144 7500180 9000216 10000240 11250270 15000360 18000432 22500540 30000720 45001080 90002160