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1057356 = 2232231277
BaseRepresentation
bin100000010001001001100
31222201102100
410002021030
5232313411
634355100
711662446
oct4021114
91881370
101057356
11662453
1242ba90
132b0371
141d7496
1515d456
hex10224c

1057356 has 36 divisors (see below), whose sum is σ = 2791152. Its totient is φ = 336864.

The previous prime is 1057307. The next prime is 1057361. The reversal of 1057356 is 6537501.

1057356 = T191 + T192 + ... + T236.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10573562 = 2236003421472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190 + ... + 1466.

It is an arithmetic number, because the mean of its divisors is an integer number (77532).

21057356 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 1057356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395576).

1057356 is an abundant number, since it is smaller than the sum of its proper divisors (1733796).

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

1057356 is a wasteful number, since it uses less digits than its factorization.

1057356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 1057356 is about 1028.2781724806. The cubic root of 1057356 is about 101.8764363028.

The spelling of 1057356 in words is "one million, fifty-seven thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 1277 2554 3831 5108 7662 11493 15324 22986 29371 45972 58742 88113 117484 176226 264339 352452 528678 1057356