Search a number
-
+
2094212480 = 27510331769
BaseRepresentation
bin111110011010011…
…0010010110000000
312101221122000110012
41330310302112000
513242104244410
6543450124052
7102616340513
oct17464622600
95357560405
102094212480
11985145918
124a5420628
13274b427a9
1415c1c0d7a
15c3cc2605
hex7cd32580

2094212480 has 64 divisors (see below), whose sum is σ = 5055242400. Its totient is φ = 829526016.

The previous prime is 2094212459. The next prime is 2094212489. The reversal of 2094212480 is 842124902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×20942124802 = 8771451822775500800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2094212489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50036 + ... + 81804.

Almost surely, 22094212480 is an apocalyptic number.

2094212480 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 2094212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527621200).

2094212480 is an abundant number, since it is smaller than the sum of its proper divisors (2961029920).

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

2094212480 is a wasteful number, since it uses less digits than its factorization.

2094212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31891 (or 31879 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 2094212480 is about 45762.5663616017. The cubic root of 2094212480 is about 1279.4016734853.

The spelling of 2094212480 in words is "two billion, ninety-four million, two hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 128 160 206 320 412 515 640 824 1030 1648 2060 3296 4120 6592 8240 13184 16480 31769 32960 63538 65920 127076 158845 254152 317690 508304 635380 1016608 1270760 2033216 2541520 3272207 4066432 5083040 6544414 10166080 13088828 16361035 20332160 26177656 32722070 52355312 65444140 104710624 130888280 209421248 261776560 418842496 523553120 1047106240 2094212480