Search a number
-
+
1026792 = 2332131097
BaseRepresentation
bin11111010101011101000
31221011111100
43322223220
5230324132
634001400
711504364
oct3725350
91834440
101026792
11641498
12416260
1329c490
141ca2a4
1515437c
hexfaae8

1026792 has 48 divisors (see below), whose sum is σ = 2997540. Its totient is φ = 315648.

The previous prime is 1026791. The next prime is 1026799. The reversal of 1026792 is 2976201.

It can be written as a sum of positive squares in 2 ways, for example, as 933156 + 93636 = 966^2 + 306^2 .

It is a super-2 number, since 2×10267922 = 2108603622528, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1026791) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388 + ... + 1484.

21026792 is an apocalyptic number.

1026792 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 1026792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498770).

1026792 is an abundant number, since it is smaller than the sum of its proper divisors (1970748).

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

1026792 is a wasteful number, since it uses less digits than its factorization.

1026792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1115 counting only the distinct ones).

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

The square root of 1026792 is about 1013.3074558099. The cubic root of 1026792 is about 100.8852076200.

The spelling of 1026792 in words is "one million, twenty-six thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 1097 2194 3291 4388 6582 8776 9873 13164 14261 19746 26328 28522 39492 42783 57044 78984 85566 114088 128349 171132 256698 342264 513396 1026792