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1070928 = 24333767
BaseRepresentation
bin100000101011101010000
32000102001000
410011131100
5233232203
634542000
712050145
oct4053520
92012030
101070928
11671671
12437900
132b65b1
141dc3cc
151624a3
hex105750

1070928 has 80 divisors (see below), whose sum is σ = 3204160. Its totient is φ = 342144.

The previous prime is 1070921. The next prime is 1070933. The reversal of 1070928 is 8290701.

It is a super-2 number, since 2×10709282 = 2293773562368, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070921) 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, 15951 + ... + 16017.

It is an arithmetic number, because the mean of its divisors is an integer number (40052).

21070928 is an apocalyptic number.

1070928 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 1070928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602080).

1070928 is an abundant number, since it is smaller than the sum of its proper divisors (2133232).

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

1070928 is a wasteful number, since it uses less digits than its factorization.

1070928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1070928 is about 1034.8565117928. The cubic root of 1070928 is about 102.3104726940.

The spelling of 1070928 in words is "one million, seventy thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 67 72 74 108 111 134 144 148 201 216 222 268 296 333 402 432 444 536 592 603 666 804 888 999 1072 1206 1332 1608 1776 1809 1998 2412 2479 2664 3216 3618 3996 4824 4958 5328 7236 7437 7992 9648 9916 14472 14874 15984 19832 22311 28944 29748 39664 44622 59496 66933 89244 118992 133866 178488 267732 356976 535464 1070928