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1070016048 = 24337273407
BaseRepresentation
bin111111110001110…
…010011000110000
32202120102110002000
4333301302120300
54142411003143
6254102054000
735341662213
oct7761623060
92676373060
101070016048
114a9aa5992
1225a41a300
131408b30ba
14a217577a
1563e11bd3
hex3fc72630

1070016048 has 80 divisors (see below), whose sum is σ = 3076469760. Its totient is φ = 356076864.

The previous prime is 1070016047. The next prime is 1070016089. The reversal of 1070016048 is 8406100701.

It is a happy number.

It is a super-2 number, since 2×10700160482 = 2289868685955076608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1070016041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312361 + ... + 315767.

It is an arithmetic number, because the mean of its divisors is an integer number (38455872).

Almost surely, 21070016048 is an apocalyptic number.

1070016048 is a gapful number since it is divisible by the number (18) 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 1070016048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538234880).

1070016048 is an abundant number, since it is smaller than the sum of its proper divisors (2006453712).

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

1070016048 is a wasteful number, since it uses less digits than its factorization.

1070016048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4151 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1070016048 is about 32711.0997675101. The cubic root of 1070016048 is about 1022.8142351525.

Adding to 1070016048 its reverse (8406100701), we get a palindrome (9476116749).

The spelling of 1070016048 in words is "one billion, seventy million, sixteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 727 1454 2181 2908 3407 4362 5816 6543 6814 8724 10221 11632 13086 13628 17448 19629 20442 26172 27256 30663 34896 39258 40884 52344 54512 61326 78516 81768 91989 104688 122652 157032 163536 183978 245304 314064 367956 490608 735912 1471824 2476889 4953778 7430667 9907556 14861334 19815112 22292001 29722668 39630224 44584002 59445336 66876003 89168004 118890672 133752006 178336008 267504012 356672016 535008024 1070016048