Search a number
-
+
149641056 = 2532519587
BaseRepresentation
bin10001110101101…
…01011101100000
3101102120112221100
420322311131200
5301302003211
622503154400
73464633205
oct1072653540
9342515840
10149641056
11775175a4
1242145a00
1325004706
1415c33cac
15d20d156
hex8eb5760

149641056 has 36 divisors (see below), whose sum is σ = 425542572. Its totient is φ = 49880256.

The previous prime is 149641039. The next prime is 149641067. The reversal of 149641056 is 650146941.

149641056 is a `hidden beast` number, since 1 + 4 + 9 + 641 + 0 + 5 + 6 = 666.

149641056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×1496410563 (a number of 26 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 149641056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 259506 + ... + 260081.

It is an arithmetic number, because the mean of its divisors is an integer number (11820627).

Almost surely, 2149641056 is an apocalyptic number.

149641056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

149641056 is an abundant number, since it is smaller than the sum of its proper divisors (275901516).

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

149641056 is a wasteful number, since it uses less digits than its factorization.

149641056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519603 (or 519592 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 149641056 is about 12232.7861094683. The cubic root of 149641056 is about 530.9051295075.

Adding to 149641056 its reverse (650146941), we get a palindrome (799787997).

The spelling of 149641056 in words is "one hundred forty-nine million, six hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 519587 1039174 1558761 2078348 3117522 4156696 4676283 6235044 8313392 9352566 12470088 16626784 18705132 24940176 37410264 49880352 74820528 149641056