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1070330016 = 25371592753
BaseRepresentation
bin111111110010111…
…111000010100000
32202121000101202110
4333302333002200
54143001030031
6254112515320
735344440450
oct7762770240
92677011673
101070330016
114aa19a868
1225a54bb40
13140992c92
14a2217d60
1563e74c46
hex3fcbf0a0

1070330016 has 48 divisors (see below), whose sum is σ = 3210992064. Its totient is φ = 305808384.

The previous prime is 1070329993. The next prime is 1070330077. The reversal of 1070330016 is 6100330701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10703300162 = 2291212686301120512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1070329974 and 1070330001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 795705 + ... + 797048.

It is an arithmetic number, because the mean of its divisors is an integer number (66895668).

Almost surely, 21070330016 is an apocalyptic number.

1070330016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1070330016 is an abundant number, since it is smaller than the sum of its proper divisors (2140662048).

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

1070330016 is a wasteful number, since it uses less digits than its factorization.

1070330016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592773 (or 1592765 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 1070330016 is about 32715.8985204442. The cubic root of 1070330016 is about 1022.9142646602.

Adding to 1070330016 its reverse (6100330701), we get a palindrome (7170660717).

The spelling of 1070330016 in words is "one billion, seventy million, three hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1592753 3185506 4778259 6371012 9556518 11149271 12742024 19113036 22298542 25484048 33447813 38226072 44597084 50968096 66895626 76452144 89194168 133791252 152904288 178388336 267582504 356776672 535165008 1070330016