Search a number
-
+
1052175996 = 22321911313613
BaseRepresentation
bin111110101101101…
…110111001111100
32201022212002010100
4332231232321330
54123324112441
6252223441100
735034230334
oct7655567174
92638762110
101052175996
1149aa20443
12254456190
13139ca7b61
149da500c4
156258acb6
hex3eb6ee7c

1052175996 has 72 divisors (see below), whose sum is σ = 2824632720. Its totient is φ = 329301504.

The previous prime is 1052175983. The next prime is 1052175997. The reversal of 1052175996 is 6995712501.

1052175996 is a `hidden beast` number, since 1 + 0 + 52 + 1 + 7 + 599 + 6 = 666.

It is a super-2 number, since 2×10521759962 = 2214148653117184032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052175997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70486 + ... + 84098.

It is an arithmetic number, because the mean of its divisors is an integer number (39231010).

Almost surely, 21052175996 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 1052175996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412316360).

1052175996 is an abundant number, since it is smaller than the sum of its proper divisors (1772456724).

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

1052175996 is a wasteful number, since it uses less digits than its factorization.

1052175996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13755 (or 13750 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The square root of 1052175996 is about 32437.2624615580. The cubic root of 1052175996 is about 1017.0979912135.

The spelling of 1052175996 in words is "one billion, fifty-two million, one hundred seventy-five thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 113 114 171 226 228 339 342 452 678 684 1017 1356 2034 2147 4068 4294 6441 8588 12882 13613 19323 25764 27226 38646 40839 54452 77292 81678 122517 163356 245034 258647 490068 517294 775941 1034588 1538269 1551882 2327823 3076538 3103764 4614807 4655646 6153076 9229614 9311292 13844421 18459228 27688842 29227111 55377684 58454222 87681333 116908444 175362666 263043999 350725332 526087998 1052175996