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1057336 = 23779239
BaseRepresentation
bin100000010001000111000
31222201101121
410002020320
5232313321
634355024
711662420
oct4021070
91881347
101057336
11662435
1242ba74
132b0357
141d7480
1515d441
hex102238

1057336 has 32 divisors (see below), whose sum is σ = 2304000. Its totient is φ = 445536.

The previous prime is 1057307. The next prime is 1057361. The reversal of 1057336 is 6337501.

It is a happy number.

It is a super-2 number, since 2×10573362 = 2235918833792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1057336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4305 + ... + 4543.

It is an arithmetic number, because the mean of its divisors is an integer number (72000).

21057336 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 1057336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152000).

1057336 is an abundant number, since it is smaller than the sum of its proper divisors (1246664).

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

1057336 is a wasteful number, since it uses less digits than its factorization.

1057336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 1057336 is about 1028.2684474397. The cubic root of 1057336 is about 101.8757939642.

It can be divided in two parts, 10573 and 36, that multiplied together give a triangular number (380628 = T872).

The spelling of 1057336 in words is "one million, fifty-seven thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 56 79 158 239 316 478 553 632 956 1106 1673 1912 2212 3346 4424 6692 13384 18881 37762 75524 132167 151048 264334 528668 1057336