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1072384 = 285971
BaseRepresentation
bin100000101110100000000
32000111000221
410011310000
5233304014
634552424
712054325
oct4056400
92014027
101072384
11672775
12438714
132b7161
141dcb4c
15162b24
hex105d00

1072384 has 36 divisors (see below), whose sum is σ = 2207520. Its totient is φ = 519680.

The previous prime is 1072381. The next prime is 1072387. The reversal of 1072384 is 4832701.

It is an interprime number because it is at equal distance from previous prime (1072381) and next prime (1072387).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072381) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15069 + ... + 15139.

It is an arithmetic number, because the mean of its divisors is an integer number (61320).

21072384 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 1072384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103760).

1072384 is an abundant number, since it is smaller than the sum of its proper divisors (1135136).

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

1072384 is an frugal number, since it uses more digits than its factorization.

1072384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 1072384 is about 1035.5597520182. The cubic root of 1072384 is about 102.3568177300.

The spelling of 1072384 in words is "one million, seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 59 64 71 118 128 142 236 256 284 472 568 944 1136 1888 2272 3776 4189 4544 7552 8378 9088 15104 16756 18176 33512 67024 134048 268096 536192 1072384