Search a number
-
+
2695008420 = 22325131151713
BaseRepresentation
bin1010000010100010…
…1001000010100100
320221211010121112200
42200220221002210
521004410232140
61123231214500
7123533123256
oct24050510244
96854117480
102695008420
111163297795
12632677430
1333c459750
141b7cd3cd6
1510b8eb030
hexa0a290a4

2695008420 has 72 divisors (see below), whose sum is σ = 8803701816. Its totient is φ = 663386112.

The previous prime is 2695008409. The next prime is 2695008539. The reversal of 2695008420 is 248005962.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2643876 + 2692364544 = 1626^2 + 51888^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 573517 + ... + 578196.

Almost surely, 22695008420 is an apocalyptic number.

2695008420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2695008420 is an abundant number, since it is smaller than the sum of its proper divisors (6108693396).

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

2695008420 is a wasteful number, since it uses less digits than its factorization.

2695008420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151741 (or 1151736 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2695008420 is about 51913.4705062183. The cubic root of 2695008420 is about 1391.6180147374.

The spelling of 2695008420 in words is "two billion, six hundred ninety-five million, eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 1151713 2303426 3455139 4606852 5758565 6910278 10365417 11517130 13820556 14972269 17275695 20730834 23034260 29944538 34551390 41461668 44916807 51827085 59889076 69102780 74861345 89833614 103654170 134750421 149722690 179667228 207308340 224584035 269500842 299445380 449168070 539001684 673752105 898336140 1347504210 2695008420