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2040105152 = 26236192239
BaseRepresentation
bin111100110011001…
…1000100011000000
312021011211002011002
41321212120203000
513134231331102
6534234311132
7101361415301
oct17146304300
95234732132
102040105152
1195764a218
1248b2884a8
13266879a17
14154d387a8
15be185902
hex799988c0

2040105152 has 56 divisors (see below), whose sum is σ = 4233062400. Its totient is φ = 973691136.

The previous prime is 2040105143. The next prime is 2040105157. The reversal of 2040105152 is 2515010402.

It is not an unprimeable number, because it can be changed into a prime (2040105157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 910049 + ... + 912287.

It is an arithmetic number, because the mean of its divisors is an integer number (75590400).

Almost surely, 22040105152 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 2040105152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116531200).

2040105152 is an abundant number, since it is smaller than the sum of its proper divisors (2192957248).

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

2040105152 is a wasteful number, since it uses less digits than its factorization.

2040105152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 2040105152 is about 45167.5231997505. The cubic root of 2040105152 is about 1268.2869316530.

Adding to 2040105152 its reverse (2515010402), we get a palindrome (4555115554).

The spelling of 2040105152 in words is "two billion, forty million, one hundred five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 619 736 1238 1472 2239 2476 4478 4952 8956 9904 14237 17912 19808 28474 35824 39616 51497 56948 71648 102994 113896 143296 205988 227792 411976 455584 823952 911168 1385941 1647904 2771882 3295808 5543764 11087528 22175056 31876643 44350112 63753286 88700224 127506572 255013144 510026288 1020052576 2040105152