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91620 = 22325509
BaseRepresentation
bin10110010111100100
311122200100
4112113210
510412440
61544100
7531054
oct262744
9148610
1091620
1162921
1245030
1332919
1425564
151c230
hex165e4

91620 has 36 divisors (see below), whose sum is σ = 278460. Its totient is φ = 24384.

The previous prime is 91591. The next prime is 91621. The reversal of 91620 is 2619.

It can be written as a sum of positive squares in 2 ways, for example, as 54756 + 36864 = 234^2 + 192^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 91593 and 91602.

It is not an unprimeable number, because it can be changed into a prime (91621) by changing a digit.

91620 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75 + ... + 434.

It is an arithmetic number, because the mean of its divisors is an integer number (7735).

291620 is an apocalyptic number.

91620 is a gapful number since it is divisible by the number (90) 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 91620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139230).

91620 is an abundant number, since it is smaller than the sum of its proper divisors (186840).

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

91620 is a wasteful number, since it uses less digits than its factorization.

91620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 519 counting only the distinct ones).

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

The square root of 91620 is about 302.6879581351. The cubic root of 91620 is about 45.0813343866.

The spelling of 91620 in words is "ninety-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 509 1018 1527 2036 2545 3054 4581 5090 6108 7635 9162 10180 15270 18324 22905 30540 45810 91620