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1040432420 = 225294738167
BaseRepresentation
bin111110000000111…
…011110100100100
32200111202102222002
4332000323310210
54112322314140
6251124024432
734532346446
oct7600736444
92614672862
101040432420
1149432a305
12250532118
131377257b1
149c274496
156151b415
hex3e03bd24

1040432420 has 48 divisors (see below), whose sum is σ = 2308400640. Its totient is φ = 393262464.

The previous prime is 1040432413. The next prime is 1040432443. The reversal of 1040432420 is 242340401.

1040432420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1040432392 and 1040432401.

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, 8177 + ... + 46343.

It is an arithmetic number, because the mean of its divisors is an integer number (48091680).

Almost surely, 21040432420 is an apocalyptic number.

1040432420 is a gapful number since it is divisible by the number (10) 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 1040432420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154200320).

1040432420 is an abundant number, since it is smaller than the sum of its proper divisors (1267968220).

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

1040432420 is a wasteful number, since it uses less digits than its factorization.

1040432420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38252 (or 38250 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1040432420 is about 32255.7346839287. The cubic root of 1040432420 is about 1013.2998043596.

Adding to 1040432420 its reverse (242340401), we get a palindrome (1282772821).

It can be divided in two parts, 10404 and 32420, that added together give a palindrome (42824).

The spelling of 1040432420 in words is "one billion, forty million, four hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 47 58 94 116 145 188 235 290 470 580 940 1363 2726 5452 6815 13630 27260 38167 76334 152668 190835 381670 763340 1106843 1793849 2213686 3587698 4427372 5534215 7175396 8969245 11068430 17938490 22136860 35876980 52021621 104043242 208086484 260108105 520216210 1040432420