Search a number
-
+
2136023032 = 2311139719249
BaseRepresentation
bin111111101010001…
…0001111111111000
312111212022012202011
41333110101333320
513333310214112
6551542215304
7103634616253
oct17724217770
95455265664
102136023032
119a68027a0
124b7424534
132806c1470
1416398609a
15c77d0aa7
hex7f511ff8

2136023032 has 64 divisors (see below), whose sum is σ = 4753980000. Its totient is φ = 886947840.

The previous prime is 2136023023. The next prime is 2136023059. The reversal of 2136023032 is 2303206312.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2136022994 and 2136023012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101344 + ... + 120592.

Almost surely, 22136023032 is an apocalyptic number.

2136023032 is a gapful number since it is divisible by the number (22) 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 2136023032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376990000).

2136023032 is an abundant number, since it is smaller than the sum of its proper divisors (2617956968).

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

2136023032 is a wasteful number, since it uses less digits than its factorization.

2136023032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19376 (or 19372 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 2136023032 is about 46217.1292055229. The cubic root of 2136023032 is about 1287.8599679944.

Adding to 2136023032 its reverse (2303206312), we get a palindrome (4439229344).

The spelling of 2136023032 in words is "two billion, one hundred thirty-six million, twenty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 97 104 143 194 286 388 572 776 1067 1144 1261 2134 2522 4268 5044 8536 10088 13871 19249 27742 38498 55484 76996 110968 153992 211739 250237 423478 500474 846956 1000948 1693912 1867153 2001896 2752607 3734306 5505214 7468612 11010428 14937224 20538683 22020856 24272989 41077366 48545978 82154732 97091956 164309464 194183912 267002879 534005758 1068011516 2136023032