Search a number
-
+
2675376720 = 2432513072843
BaseRepresentation
bin1001111101110111…
…0000001001010000
320220110012012220200
42133131300021100
520434344023340
61121250335200
7123204220062
oct23735601120
96813165820
102675376720
1111531a9145
12627b8a500
13338374b63
141b5463732
15109d1e330
hex9f770250

2675376720 has 120 divisors (see below), whose sum is σ = 8994843936. Its totient is φ = 712637184.

The previous prime is 2675376673. The next prime is 2675376727. The reversal of 2675376720 is 276735762.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2675376727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 939619 + ... + 942461.

Almost surely, 22675376720 is an apocalyptic number.

2675376720 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 2675376720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497421968).

2675376720 is an abundant number, since it is smaller than the sum of its proper divisors (6319467216).

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

2675376720 is a wasteful number, since it uses less digits than its factorization.

2675376720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4169 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The square root of 2675376720 is about 51724.0439254318. The cubic root of 2675376720 is about 1388.2307112888.

The spelling of 2675376720 in words is "two billion, six hundred seventy-five million, three hundred seventy-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1307 2614 2843 3921 5228 5686 6535 7842 8529 10456 11372 11763 13070 14215 15684 17058 19605 20912 22744 23526 25587 26140 28430 31368 34116 39210 42645 45488 47052 51174 52280 56860 58815 62736 68232 78420 85290 94104 102348 104560 113720 117630 127935 136464 156840 170580 188208 204696 227440 235260 255870 313680 341160 409392 470520 511740 682320 941040 1023480 2046960 3715801 7431602 11147403 14863204 18579005 22294806 29726408 33442209 37158010 44589612 55737015 59452816 66884418 74316020 89179224 111474030 133768836 148632040 167211045 178358448 222948060 267537672 297264080 334422090 445896120 535075344 668844180 891792240 1337688360 2675376720