Search a number
-
+
2113437620 = 2257217126857
BaseRepresentation
bin111110111111000…
…0111111110110100
312110021210202101102
41331332013332310
513312020000440
6545414145232
7103241631500
oct17576077664
95407722342
102113437620
11994a86a68
124ab952218
13278b14308
14160987300
15c581db15
hex7df87fb4

2113437620 has 72 divisors (see below), whose sum is σ = 5466564936. Its totient is φ = 681977856.

The previous prime is 2113437581. The next prime is 2113437629. The reversal of 2113437620 is 267343112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1153553296 + 959884324 = 33964^2 + 30982^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113437629) 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, 46769 + ... + 80088.

It is an arithmetic number, because the mean of its divisors is an integer number (75924513).

Almost surely, 22113437620 is an apocalyptic number.

2113437620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113437620 is an abundant number, since it is smaller than the sum of its proper divisors (3353127316).

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

2113437620 is a wasteful number, since it uses less digits than its factorization.

2113437620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126897 (or 126888 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 2113437620 is about 45972.1396065052. The cubic root of 2113437620 is about 1283.3047780607.

The spelling of 2113437620 in words is "two billion, one hundred thirteen million, four hundred thirty-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2380 3332 4165 8330 16660 126857 253714 507428 634285 887999 1268570 1775998 2156569 2537140 3551996 4313138 4439995 6215993 8626276 8879990 10782845 12431986 15095983 17759980 21565690 24863972 30191966 31079965 43131380 60383932 62159930 75479915 105671881 124319860 150959830 211343762 301919660 422687524 528359405 1056718810 2113437620