Search a number
-
+
1146213040 = 245715713037
BaseRepresentation
bin100010001010001…
…1101001010110000
32221212210122200211
41010110131022300
54321412304130
6305423153504
740255435660
oct10424351260
92855718624
101146213040
11539009905
1227ba45894
1315361148b
14ac32c1a0
156a963a2a
hex4451d2b0

1146213040 has 80 divisors (see below), whose sum is σ = 3065285952. Its totient is φ = 390454272.

The previous prime is 1146212993. The next prime is 1146213041. The reversal of 1146213040 is 403126411.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1146213041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81402 + ... + 94438.

Almost surely, 21146213040 is an apocalyptic number.

1146213040 is a gapful number since it is divisible by the number (10) 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 1146213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532642976).

1146213040 is an abundant number, since it is smaller than the sum of its proper divisors (1919072912).

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

1146213040 is a wasteful number, since it uses less digits than its factorization.

1146213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13214 (or 13208 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1146213040 is about 33855.7681939134. The cubic root of 1146213040 is about 1046.5382715823.

Adding to 1146213040 its reverse (403126411), we get a palindrome (1549339451).

The spelling of 1146213040 in words is "one billion, one hundred forty-six million, two hundred thirteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 157 280 314 560 628 785 1099 1256 1570 2198 2512 3140 4396 5495 6280 8792 10990 12560 13037 17584 21980 26074 43960 52148 65185 87920 91259 104296 130370 182518 208592 260740 365036 456295 521480 730072 912590 1042960 1460144 1825180 2046809 3650360 4093618 7300720 8187236 10234045 14327663 16374472 20468090 28655326 32748944 40936180 57310652 71638315 81872360 114621304 143276630 163744720 229242608 286553260 573106520 1146213040