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1056672 = 25331223
BaseRepresentation
bin100000001111110100000
31222200111000
410001332200
5232303142
634352000
711660451
oct4017640
91880430
101056672
11661991
1242b600
132acc66
141d7128
1515d14c
hex101fa0

1056672 has 48 divisors (see below), whose sum is σ = 3084480. Its totient is φ = 351936.

The previous prime is 1056667. The next prime is 1056707. The reversal of 1056672 is 2766501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10566722 = 2233111431168, which contains 22 as substring.

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

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

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, 253 + ... + 1475.

It is an arithmetic number, because the mean of its divisors is an integer number (64260).

21056672 is an apocalyptic number.

1056672 is a gapful number since it is divisible by the number (12) 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 1056672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542240).

1056672 is an abundant number, since it is smaller than the sum of its proper divisors (2027808).

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

1056672 is a wasteful number, since it uses less digits than its factorization.

1056672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1056672 is about 1027.9455238484. The cubic root of 1056672 is about 101.8544637241.

It can be divided in two parts, 1056 and 672, that added together give a cube (1728 = 123).

The spelling of 1056672 in words is "one million, fifty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1223 2446 3669 4892 7338 9784 11007 14676 19568 22014 29352 33021 39136 44028 58704 66042 88056 117408 132084 176112 264168 352224 528336 1056672