Search a number
-
+
1035144 = 2332111307
BaseRepresentation
bin11111100101110001000
31221120221200
43330232020
5231111034
634104200
711540625
oct3745610
91846850
101035144
116477a0
1241b060
132a3216
141cd34c
15156a99
hexfcb88

1035144 has 48 divisors (see below), whose sum is σ = 3060720. Its totient is φ = 313440.

The previous prime is 1035131. The next prime is 1035163. The reversal of 1035144 is 4415301.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a nialpdrome in base 16.

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 11 ways as a sum of consecutive naturals, for example, 139 + ... + 1445.

It is an arithmetic number, because the mean of its divisors is an integer number (63765).

21035144 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 1035144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530360).

1035144 is an abundant number, since it is smaller than the sum of its proper divisors (2025576).

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

1035144 is a wasteful number, since it uses less digits than its factorization.

1035144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1035144 is about 1017.4202671463. The cubic root of 1035144 is about 101.1580051456.

The spelling of 1035144 in words is "one million, thirty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1307 2614 3921 5228 7842 10456 11763 14377 15684 23526 28754 31368 43131 47052 57508 86262 94104 115016 129393 172524 258786 345048 517572 1035144