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1035213440 = 2752370327
BaseRepresentation
bin111101101101000…
…001101010000000
32200010221021212112
4331231001222000
54110003312230
6250420114452
734440111662
oct7555015200
92603837775
101035213440
114913951a8
1224a835a28
13136619141
149b6b6532
1560d39d95
hex3db41a80

1035213440 has 64 divisors (see below), whose sum is σ = 2582444160. Its totient is φ = 396076032.

The previous prime is 1035213427. The next prime is 1035213451. The reversal of 1035213440 is 443125301.

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 (23).

It is an unprimeable number.

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, 20444 + ... + 49883.

It is an arithmetic number, because the mean of its divisors is an integer number (40350690).

Almost surely, 21035213440 is an apocalyptic number.

1035213440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1035213440 is an abundant number, since it is smaller than the sum of its proper divisors (1547230720).

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

1035213440 is an equidigital number, since it uses as much as digits as its factorization.

1035213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70369 (or 70357 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 1035213440 is about 32174.7329437246. The cubic root of 1035213440 is about 1011.6026707077.

Adding to 1035213440 its reverse (443125301), we get a palindrome (1478338741).

The spelling of 1035213440 in words is "one billion, thirty-five million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1840 2944 3680 7360 14720 70327 140654 281308 351635 562616 703270 1125232 1406540 1617521 2250464 2813080 3235042 4500928 5626160 6470084 8087605 9001856 11252320 12940168 16175210 22504640 25880336 32350420 45009280 51760672 64700840 103521344 129401680 207042688 258803360 517606720 1035213440