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1071872 = 285379
BaseRepresentation
bin100000101101100000000
32000110022222
410011230000
5233244442
634550212
712052664
oct4055400
92013288
101071872
1167234a
12438368
132b6b59
141dc8a4
151628d2
hex105b00

1071872 has 36 divisors (see below), whose sum is σ = 2207520. Its totient is φ = 519168.

The previous prime is 1071871. The next prime is 1071899. The reversal of 1071872 is 2781701.

It is a super-2 number, since 2×10718722 = 2297819168768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1071871) 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, 13529 + ... + 13607.

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

21071872 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 1071872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103760).

1071872 is an abundant number, since it is smaller than the sum of its proper divisors (1135648).

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

1071872 is an frugal number, since it uses more digits than its factorization.

1071872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 26.

The square root of 1071872 is about 1035.3125132056. The cubic root of 1071872 is about 102.3405253592.

The spelling of 1071872 in words is "one million, seventy-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 53 64 79 106 128 158 212 256 316 424 632 848 1264 1696 2528 3392 4187 5056 6784 8374 10112 13568 16748 20224 33496 66992 133984 267968 535936 1071872