Search a number
-
+
2935120 = 245191931
BaseRepresentation
bin1011001100100101010000
312112010020011
423030211100
51222410440
6142524304
733643126
oct13144520
95463204
102935120
111725221
12b96694
137b9c76
14565916
153ce9ea
hex2cc950

2935120 has 40 divisors (see below), whose sum is σ = 7187040. Its totient is φ = 1111680.

The previous prime is 2935109. The next prime is 2935133. The reversal of 2935120 is 215392.

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

It is a super-2 number, since 2×29351202 = 17229858828800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2935091 and 2935100.

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, 555 + ... + 2485.

It is an arithmetic number, because the mean of its divisors is an integer number (179676).

22935120 is an apocalyptic number.

2935120 is a gapful number since it is divisible by the number (20) 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 2935120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593520).

2935120 is an abundant number, since it is smaller than the sum of its proper divisors (4251920).

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

2935120 is a wasteful number, since it uses less digits than its factorization.

2935120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 2935120 is about 1713.2191920475. The cubic root of 2935120 is about 143.1776688751.

The spelling of 2935120 in words is "two million, nine hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 1931 3862 7724 9655 15448 19310 30896 36689 38620 73378 77240 146756 154480 183445 293512 366890 587024 733780 1467560 2935120