Search a number
-
+
2113537392 = 243253467593
BaseRepresentation
bin111110111111010…
…0000010101110000
312110021222211020200
41331332200111300
513312031144032
6545420235200
7103242525411
oct17576402560
95407884220
102113537392
11995044a1a
124ab99bb00
13278b4a855
141609b1808
15c583d47c
hex7dfa0570

2113537392 has 120 divisors (see below), whose sum is σ = 6049661904. Its totient is φ = 688576512.

The previous prime is 2113537351. The next prime is 2113537397. The reversal of 2113537392 is 2937353112.

It is a happy number.

2113537392 is a `hidden beast` number, since 2 + 113 + 537 + 3 + 9 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113537397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3563848 + ... + 3564440.

Almost surely, 22113537392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113537392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024830952).

2113537392 is an abundant number, since it is smaller than the sum of its proper divisors (3936124512).

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

2113537392 is a wasteful number, since it uses less digits than its factorization.

2113537392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1118 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 2113537392 is about 45973.2247291834. The cubic root of 2113537392 is about 1283.3249719963.

The spelling of 2113537392 in words is "two billion, one hundred thirteen million, five hundred thirty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 467 477 593 636 848 934 954 1186 1272 1401 1779 1868 1908 2372 2544 2802 3558 3736 3816 4203 4744 5337 5604 7116 7472 7632 8406 9488 10674 11208 14232 16812 21348 22416 24751 28464 31429 33624 42696 49502 62858 67248 74253 85392 94287 99004 125716 148506 188574 198008 222759 251432 276931 282861 297012 377148 396016 445518 502864 553862 565722 594024 754296 830793 891036 1107724 1131444 1188048 1508592 1661586 1782072 2215448 2262888 2492379 3323172 3564144 4430896 4525776 4984758 6646344 9969516 13292688 14677343 19939032 29354686 39878064 44032029 58709372 88064058 117418744 132096087 176128116 234837488 264192174 352256232 528384348 704512464 1056768696 2113537392