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4505240 = 235235983
BaseRepresentation
bin10001001011111010011000
322110220000202
4101023322120
52123131430
6240321332
753202545
oct21137230
98426022
104505240
1125a7943
121613248
13c1982c
14853bcc
155ded45
hex44be98

4505240 has 64 divisors (see below), whose sum is σ = 10886400. Its totient is φ = 1674112.

The previous prime is 4505233. The next prime is 4505257. The reversal of 4505240 is 425054.

4505240 = T145 + T146 + ... + T310.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54239 + ... + 54321.

It is an arithmetic number, because the mean of its divisors is an integer number (170100).

Almost surely, 24505240 is an apocalyptic number.

4505240 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 4505240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443200).

4505240 is an abundant number, since it is smaller than the sum of its proper divisors (6381160).

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

4505240 is a wasteful number, since it uses less digits than its factorization.

4505240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 4505240 is about 2122.5550640678. Note that the first 3 decimals coincide. The cubic root of 4505240 is about 165.1604194349.

The spelling of 4505240 in words is "four million, five hundred five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 59 83 92 115 118 166 184 230 236 295 332 415 460 472 590 664 830 920 1180 1357 1660 1909 2360 2714 3320 3818 4897 5428 6785 7636 9545 9794 10856 13570 15272 19090 19588 24485 27140 38180 39176 48970 54280 76360 97940 112631 195880 225262 450524 563155 901048 1126310 2252620 4505240