[go: up one dir, main page]

Search a number
-
+
1407711348 = 2232122931817
BaseRepresentation
bin101001111100111…
…1111100001110100
310122002212010221100
41103321333201310
510340333230343
6351404050100
746612230501
oct12371774164
93562763840
101407711348
1166268640a
12333533930
1319584b6c4
14d4d5c4a8
15838b99d3
hex53e7f874

1407711348 has 36 divisors (see below), whose sum is σ = 3561388740. Its totient is φ = 468840576.

The previous prime is 1407711329. The next prime is 1407711373. The reversal of 1407711348 is 8431177041.

It can be written as a sum of positive squares in 2 ways, for example, as 1340438544 + 67272804 = 36612^2 + 8202^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28336 + ... + 60152.

It is an arithmetic number, because the mean of its divisors is an integer number (98927465).

Almost surely, 21407711348 is an apocalyptic number.

1407711348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1407711348 is an abundant number, since it is smaller than the sum of its proper divisors (2153677392).

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

1407711348 is a wasteful number, since it uses less digits than its factorization.

1407711348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33056 (or 33051 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1407711348 is about 37519.4795806125. The cubic root of 1407711348 is about 1120.7391347684.

Adding to 1407711348 its reverse (8431177041), we get a palindrome (9838888389).

It can be divided in two parts, 14077 and 11348, that added together give a triangular number (25425 = T225).

The spelling of 1407711348 in words is "one billion, four hundred seven million, seven hundred eleven thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1229 2458 3687 4916 7374 11061 14748 22122 31817 44244 63634 95451 127268 190902 286353 381804 572706 1145412 39103093 78206186 117309279 156412372 234618558 351927837 469237116 703855674 1407711348