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1072974 = 23759433
BaseRepresentation
bin100000101111101001110
32000111211210
410011331032
5233313344
634555250
712056130
oct4057516
92014753
101072974
11673161
12438b26
132b74c6
141dd050
15162db9
hex105f4e

1072974 has 32 divisors (see below), whose sum is σ = 2499840. Its totient is φ = 300672.

The previous prime is 1072969. The next prime is 1072991. The reversal of 1072974 is 4792701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2262 + ... + 2694.

It is an arithmetic number, because the mean of its divisors is an integer number (78120).

21072974 is an apocalyptic number.

1072974 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249920).

1072974 is an abundant number, since it is smaller than the sum of its proper divisors (1426866).

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

1072974 is a wasteful number, since it uses less digits than its factorization.

1072974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504.

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 1072974 is about 1035.8445829370. The cubic root of 1072974 is about 102.3755857120.

It can be divided in two parts, 107 and 2974, that added together give a triangular number (3081 = T78).

The spelling of 1072974 in words is "one million, seventy-two thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 59 118 177 354 413 433 826 866 1239 1299 2478 2598 3031 6062 9093 18186 25547 51094 76641 153282 178829 357658 536487 1072974