Search a number
-
+
150633431 = 1359277709
BaseRepresentation
bin10001111101001…
…11101111010111
3101111102222012222
420332213233113
5302030232211
622540332555
73506235344
oct1076475727
9344388188
10150633431
1178035143
124254415b
1325291310
14160117cb
15d3571db
hex8fa7bd7

150633431 has 16 divisors (see below), whose sum is σ = 165799200. Its totient is φ = 136003968.

The previous prime is 150633419. The next prime is 150633437. The reversal of 150633431 is 134336051.

150633431 = 592 + 602 + ... + 7672.

It is a de Polignac number, because none of the positive numbers 2k-150633431 is a prime.

It is a super-4 number, since 4×1506334314 (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 150633431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150633437) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 212105 + ... + 212813.

It is an arithmetic number, because the mean of its divisors is an integer number (10362450).

Almost surely, 2150633431 is an apocalyptic number.

150633431 is a deficient number, since it is larger than the sum of its proper divisors (15165769).

150633431 is a wasteful number, since it uses less digits than its factorization.

150633431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058.

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 150633431 is about 12273.2811831230. The cubic root of 150633431 is about 532.0761463639.

Adding to 150633431 its reverse (134336051), we get a palindrome (284969482).

The spelling of 150633431 in words is "one hundred fifty million, six hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 13 59 277 709 767 3601 9217 16343 41831 196393 212459 543803 2553109 11587187 150633431