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1070368 = 25133183
BaseRepresentation
bin100000101010100100000
32000101021021
410011110200
5233222433
634535224
712045415
oct4052440
92011237
101070368
11671202
12437514
132b6270
141dc10c
1516222d
hex105520

1070368 has 48 divisors (see below), whose sum is σ = 2370816. Its totient is φ = 472320.

The previous prime is 1070357. The next prime is 1070369. The reversal of 1070368 is 8630701.

It is a super-2 number, since 2×10703682 = 2291375310848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1070369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12855 + ... + 12937.

It is an arithmetic number, because the mean of its divisors is an integer number (49392).

21070368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1070368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185408).

1070368 is an abundant number, since it is smaller than the sum of its proper divisors (1300448).

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

1070368 is a wasteful number, since it uses less digits than its factorization.

1070368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 1070368 is about 1034.5859075012. The cubic root of 1070368 is about 102.2926364952.

The spelling of 1070368 in words is "one million, seventy thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 83 104 124 166 208 248 332 403 416 496 664 806 992 1079 1328 1612 2158 2573 2656 3224 4316 5146 6448 8632 10292 12896 17264 20584 33449 34528 41168 66898 82336 133796 267592 535184 1070368