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89220720 = 2435894177
BaseRepresentation
bin1010101000101…
…10011001110000
320012212212211010
411110112121300
5140320030340
612504150520
72132235501
oct524263160
9205785733
1089220720
11463a9936
1225a68440
131563b334
14bbc6ba8
157c75b80
hex5516670

89220720 has 80 divisors (see below), whose sum is σ = 279758880. Its totient is φ = 23519232.

The previous prime is 89220707. The next prime is 89220731. The reversal of 89220720 is 2702298.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

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, 19272 + ... + 23448.

It is an arithmetic number, because the mean of its divisors is an integer number (3496986).

Almost surely, 289220720 is an apocalyptic number.

89220720 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 89220720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139879440).

89220720 is an abundant number, since it is smaller than the sum of its proper divisors (190538160).

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

89220720 is a wasteful number, since it uses less digits than its factorization.

89220720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4282 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 89220720 is about 9445.6720247953. The cubic root of 89220720 is about 446.8432904619.

It can be divided in two parts, 892 and 20720, that added together give a palindrome (21612).

The spelling of 89220720 in words is "eighty-nine million, two hundred twenty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 178 240 267 356 445 534 712 890 1068 1335 1424 1780 2136 2670 3560 4177 4272 5340 7120 8354 10680 12531 16708 20885 21360 25062 33416 41770 50124 62655 66832 83540 100248 125310 167080 200496 250620 334160 371753 501240 743506 1002480 1115259 1487012 1858765 2230518 2974024 3717530 4461036 5576295 5948048 7435060 8922072 11152590 14870120 17844144 22305180 29740240 44610360 89220720