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1024414212 = 2232913721487
BaseRepresentation
bin111101000011110…
…101001000000100
32122101121122010010
4331003311020010
54044222223322
6245352430220
734246243233
oct7503651004
92571548103
101024414212
11486289618
122470a8370
13134307873
149a0a4b1a
155ee0520c
hex3d0f5204

1024414212 has 48 divisors (see below), whose sum is σ = 2490888960. Its totient is φ = 327274752.

The previous prime is 1024414211. The next prime is 1024414229. The reversal of 1024414212 is 2124144201.

It is not an unprimeable number, because it can be changed into a prime (1024414211) 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 15 ways as a sum of consecutive naturals, for example, 36933 + ... + 58419.

It is an arithmetic number, because the mean of its divisors is an integer number (51893520).

Almost surely, 21024414212 is an apocalyptic number.

1024414212 is a gapful number since it is divisible by the number (12) 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 1024414212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245444480).

1024414212 is an abundant number, since it is smaller than the sum of its proper divisors (1466474748).

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

1024414212 is a wasteful number, since it uses less digits than its factorization.

1024414212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21660 (or 21658 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1024414212 is about 32006.4714081387. The cubic root of 1024414212 is about 1008.0727263917.

Adding to 1024414212 its reverse (2124144201), we get a palindrome (3148558413).

The spelling of 1024414212 in words is "one billion, twenty-four million, four hundred fourteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 137 174 274 348 411 548 822 1644 3973 7946 11919 15892 21487 23838 42974 47676 64461 85948 128922 257844 623123 1246246 1869369 2492492 2943719 3738738 5887438 7477476 8831157 11774876 17662314 35324628 85367851 170735702 256103553 341471404 512207106 1024414212