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1030413440 = 2757230003
BaseRepresentation
bin111101011010101…
…101110010000000
32122210220102111202
4331122231302000
54102241212230
6250125200332
734351240550
oct7532556200
92583812452
101030413440
11489706961
122491000a8
131356283c4
149abc7160
15606dca45
hex3d6adc80

1030413440 has 64 divisors (see below), whose sum is σ = 2815248960. Its totient is φ = 353283072.

The previous prime is 1030413437. The next prime is 1030413463. The reversal of 1030413440 is 443140301.

It is a happy number.

1030413440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110522 + ... + 119481.

It is an arithmetic number, because the mean of its divisors is an integer number (43988265).

Almost surely, 21030413440 is an apocalyptic number.

1030413440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030413440 is an abundant number, since it is smaller than the sum of its proper divisors (1784835520).

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

1030413440 is an equidigital number, since it uses as much as digits as its factorization.

1030413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230029 (or 230017 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1030413440 is about 32100.0535825098. The cubic root of 1030413440 is about 1010.0367401594.

Adding to 1030413440 its reverse (443140301), we get a palindrome (1473553741).

The spelling of 1030413440 in words is "one billion, thirty million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 230003 460006 920012 1150015 1610021 1840024 2300030 3220042 3680048 4600060 6440084 7360096 8050105 9200120 12880168 14720192 16100210 18400240 25760336 29440384 32200420 36800480 51520672 64400840 73600960 103041344 128801680 147201920 206082688 257603360 515206720 1030413440