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4920 = 233541
BaseRepresentation
bin1001100111000
320202020
41030320
5124140
634440
720226
oct11470
96666
104920
113773
122a20
132316
141b16
1516d0
hex1338

4920 has 32 divisors (see below), whose sum is σ = 15120. Its totient is φ = 1280.

The previous prime is 4919. The next prime is 4931. The reversal of 4920 is 294.

4920 = T31 + T32 + ... + T38.

4920 is nontrivially palindromic in base 9 and base 11.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

4920 is an undulating number in base 3.

4920 is a nontrivial repdigit in base 9.

It is a plaindrome in base 9 and base 16.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 4920.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4920.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100 + ... + 140.

24920 is an apocalyptic number.

4920 is a gapful number since it is divisible by the number (40) 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 4920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560).

4920 is an abundant number, since it is smaller than the sum of its proper divisors (10200).

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

4920 is a wasteful number, since it uses less digits than its factorization.

4920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 4920 is about 70.1427116670. The cubic root of 4920 is about 17.0080699863.

The spelling of 4920 in words is "four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920