Search a number
-
+
2051976136 = 2372191372011
BaseRepresentation
bin111101001001110…
…1010101111001000
312022000011012002011
41322103222233020
513200301214021
6535340545304
7101564336500
oct17223525710
95260135064
102051976136
11963318051
12493252234
13269175082
14156748a00
15c022cde1
hex7a4eabc8

2051976136 has 96 divisors (see below), whose sum is σ = 4747917600. Its totient is φ = 826640640.

The previous prime is 2051976131. The next prime is 2051976169. The reversal of 2051976136 is 6316791502.

It is not an unprimeable number, because it can be changed into a prime (2051976131) 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, 1019371 + ... + 1021381.

It is an arithmetic number, because the mean of its divisors is an integer number (49457475).

Almost surely, 22051976136 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 2051976136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373958800).

2051976136 is an abundant number, since it is smaller than the sum of its proper divisors (2695941464).

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

2051976136 is a wasteful number, since it uses less digits than its factorization.

2051976136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 2051976136 is about 45298.7432055239. The cubic root of 2051976136 is about 1270.7421491514.

The spelling of 2051976136 in words is "two billion, fifty-one million, nine hundred seventy-six thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 137 152 196 266 274 392 532 548 931 959 1064 1096 1862 1918 2011 2603 3724 3836 4022 5206 6713 7448 7672 8044 10412 13426 14077 16088 18221 20824 26852 28154 36442 38209 53704 56308 72884 76418 98539 112616 127547 145768 152836 197078 255094 267463 275507 305672 394156 510188 534926 551014 788312 1020376 1069852 1102028 1872241 1928549 2139704 2204056 3744482 3857098 5234633 7488964 7714196 10469266 13499843 14977928 15428392 20938532 26999686 36642431 41877064 53999372 73284862 107998744 146569724 256497017 293139448 512994034 1025988068 2051976136