Search a number
-
+
1413224032 = 251131671933
BaseRepresentation
bin101010000111100…
…0001011001100000
310122111020012220211
41110033001121200
510343241132112
6352122143504
750010130453
oct12417013140
93574205824
101413224032
11665801150
12335351b94
13196a2b94c
14d599549a
15841080a7
hex543c1660

1413224032 has 96 divisors (see below), whose sum is σ = 3181538304. Its totient is φ = 612057600.

The previous prime is 1413224023. The next prime is 1413224051. The reversal of 1413224032 is 2304223141.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1413223994 and 1413224012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 730138 + ... + 732070.

It is an arithmetic number, because the mean of its divisors is an integer number (33141024).

Almost surely, 21413224032 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 1413224032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590769152).

1413224032 is an abundant number, since it is smaller than the sum of its proper divisors (1768314272).

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

1413224032 is a wasteful number, since it uses less digits than its factorization.

1413224032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1413224032 is about 37592.8720903312. The cubic root of 1413224032 is about 1122.2001902997.

Adding to 1413224032 its reverse (2304223141), we get a palindrome (3717447173).

The spelling of 1413224032 in words is "one billion, four hundred thirteen million, two hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 67 88 124 134 176 248 268 341 352 496 536 682 737 992 1072 1364 1474 1933 2077 2144 2728 2948 3866 4154 5456 5896 7732 8308 10912 11792 15464 16616 21263 22847 23584 30928 33232 42526 45694 59923 61856 66464 85052 91388 119846 129511 170104 182776 239692 259022 340208 365552 479384 518044 659153 680416 731104 958768 1036088 1318306 1424621 1917536 2072176 2636612 2849242 4014841 4144352 5273224 5698484 8029682 10546448 11396968 16059364 21092896 22793936 32118728 44163251 45587872 64237456 88326502 128474912 176653004 353306008 706612016 1413224032