Search a number
-
+
1407532644 = 2232721316091
BaseRepresentation
bin101001111100101…
…0011111001100100
310122002112001210200
41103321103321210
510340312021034
6351400150500
746610554500
oct12371237144
93562461720
101407532644
11662574121
12333468430
131957b826b
14d4d13300
1583881a99
hex53e53e64

1407532644 has 108 divisors (see below), whose sum is σ = 4171094928. Its totient is φ = 399016800.

The previous prime is 1407532627. The next prime is 1407532703. The reversal of 1407532644 is 4462357041.

1407532644 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 5 + 3 + 2 + 644 = 666.

It is a super-2 number, since 2×14075326442 = 3962296287851261472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1407532599 and 1407532608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 228039 + ... + 234129.

Almost surely, 21407532644 is an apocalyptic number.

1407532644 is a gapful number since it is divisible by the number (14) 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 1407532644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085547464).

1407532644 is an abundant number, since it is smaller than the sum of its proper divisors (2763562284).

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

1407532644 is a wasteful number, since it uses less digits than its factorization.

1407532644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6246 (or 6234 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 1407532644 is about 37517.0980221019. The cubic root of 1407532644 is about 1120.6917081322.

Adding to 1407532644 its reverse (4462357041), we get a palindrome (5869889685).

The spelling of 1407532644 in words is "one billion, four hundred seven million, five hundred thirty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 131 147 196 252 262 294 393 441 524 588 786 882 917 1179 1572 1764 1834 2358 2751 3668 4716 5502 6091 6419 8253 11004 12182 12838 16506 18273 19257 24364 25676 33012 36546 38514 42637 54819 57771 73092 77028 85274 109638 115542 127911 170548 219276 231084 255822 298459 383733 511644 596918 767466 797921 895377 1193836 1534932 1595842 1790754 2393763 2686131 3191684 3581508 4787526 5372262 5585447 7181289 9575052 10744524 11170894 14362578 16756341 22341788 28725156 33512682 39098129 50269023 67025364 78196258 100538046 117294387 156392516 201076092 234588774 351883161 469177548 703766322 1407532644