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1026972 = 223337257
BaseRepresentation
bin11111010101110011100
31221011202000
43322232130
5230330342
634002300
711505042
oct3725634
91834660
101026972
11641641
12416390
1329c59b
141ca392
1515444c
hexfab9c

1026972 has 48 divisors (see below), whose sum is σ = 2745120. Its totient is φ = 331776.

The previous prime is 1026947. The next prime is 1026979. The reversal of 1026972 is 2796201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3868 + ... + 4124.

It is an arithmetic number, because the mean of its divisors is an integer number (57190).

21026972 is an apocalyptic number.

1026972 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 1026972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372560).

1026972 is an abundant number, since it is smaller than the sum of its proper divisors (1718148).

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

1026972 is a wasteful number, since it uses less digits than its factorization.

1026972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1026972 is about 1013.3962699754. The cubic root of 1026972 is about 100.8911024446.

The spelling of 1026972 in words is "one million, twenty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 257 333 444 514 666 771 999 1028 1332 1542 1998 2313 3084 3996 4626 6939 9252 9509 13878 19018 27756 28527 38036 57054 85581 114108 171162 256743 342324 513486 1026972