Search a number
-
+
2310912128 = 27726072
BaseRepresentation
bin1000100110111101…
…1011100010000000
312222001101111111002
42021233123202000
514213043142003
61021150511132
7111160300100
oct21157334200
95861344432
102310912128
11a864a4538
12545b054a8
132aa9c5c35
1417ccad200
15d7d29a88
hex89bdb880

2310912128 has 72 divisors (see below), whose sum is σ = 5364243495. Its totient is φ = 988759296.

The previous prime is 2310912077. The next prime is 2310912139. The reversal of 2310912128 is 8212190132.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1155456064 + 1155456064 = 33992^2 + 33992^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33992.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2310912128.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3806801 + ... + 3807407.

Almost surely, 22310912128 is an apocalyptic number.

2310912128 is a gapful number since it is divisible by the number (28) 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 2310912128

2310912128 is an abundant number, since it is smaller than the sum of its proper divisors (3053331367).

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

2310912128 is an frugal number, since it uses more digits than its factorization.

2310912128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 2310912128 is about 48071.9474121862. The cubic root of 2310912128 is about 1322.0903762933.

The spelling of 2310912128 in words is "two billion, three hundred ten million, nine hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 607 784 896 1214 1568 2428 3136 4249 4856 6272 8498 9712 16996 19424 29743 33992 38848 59486 67984 77696 118972 135968 237944 271936 368449 475888 543872 736898 951776 1473796 1903552 2579143 2947592 3807104 5158286 5895184 10316572 11790368 18054001 20633144 23580736 36108002 41266288 47161472 72216004 82532576 144432008 165065152 288864016 330130304 577728032 1155456064 2310912128