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93620 = 22531151
BaseRepresentation
bin10110110110110100
311202102102
4112312310
510443440
62001232
7536642
oct266664
9152372
1093620
116437a
1246218
13337c7
1426192
151cb15
hex16db4

93620 has 24 divisors (see below), whose sum is σ = 204288. Its totient is φ = 36000.

The previous prime is 93607. The next prime is 93629. The reversal of 93620 is 2639.

It is a happy number.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 93592 and 93601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93629) by changing a digit.

93620 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 7 ways as a sum of consecutive naturals, for example, 545 + ... + 695.

It is an arithmetic number, because the mean of its divisors is an integer number (8512).

293620 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 93620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102144).

93620 is an abundant number, since it is smaller than the sum of its proper divisors (110668).

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

93620 is a wasteful number, since it uses less digits than its factorization.

93620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 93620 is about 305.9738550922. The cubic root of 93620 is about 45.4070072697.

The spelling of 93620 in words is "ninety-three thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 151 155 302 310 604 620 755 1510 3020 4681 9362 18724 23405 46810 93620