Search a number
-
+
28935120 = 2435120563
BaseRepresentation
bin110111001100…
…0001111010000
32000110001112010
41232120033100
524401410440
62512102520
7500641644
oct156301720
960401463
1028935120
1115373425
129834a40
135cc1396
143bb2c24
152818580
hex1b983d0

28935120 has 40 divisors (see below), whose sum is σ = 89699616. Its totient is φ = 7715968.

The previous prime is 28935113. The next prime is 28935131. The reversal of 28935120 is 2153982.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 60042 + ... + 60521.

Almost surely, 228935120 is an apocalyptic number.

28935120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28935120 is an abundant number, since it is smaller than the sum of its proper divisors (60764496).

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

28935120 is a wasteful number, since it uses less digits than its factorization.

28935120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120579 (or 120573 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 28935120 is about 5379.1374773285. The cubic root of 28935120 is about 307.0023943480.

The spelling of 28935120 in words is "twenty-eight million, nine hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 120563 241126 361689 482252 602815 723378 964504 1205630 1446756 1808445 1929008 2411260 2893512 3616890 4822520 5787024 7233780 9645040 14467560 28935120