Search a number
-
+
149547520 = 29558417
BaseRepresentation
bin10001110100111…
…10101000000000
3101102101210122001
420322132220000
5301241010040
622501153344
73464063413
oct1072365000
9342353561
10149547520
11774632a1
12420bb854
1324ca0c75
1415c0bb7a
15d1e059a
hex8e9ea00

149547520 has 40 divisors (see below), whose sum is σ = 358569684. Its totient is φ = 59817984.

The previous prime is 149547511. The next prime is 149547527. The reversal of 149547520 is 25745941.

It can be written as a sum of positive squares in 2 ways, for example, as 145154304 + 4393216 = 12048^2 + 2096^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 149547520.

It is not an unprimeable number, because it can be changed into a prime (149547527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26649 + ... + 31768.

Almost surely, 2149547520 is an apocalyptic number.

149547520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149547520 is an abundant number, since it is smaller than the sum of its proper divisors (209022164).

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

149547520 is an frugal number, since it uses more digits than its factorization.

149547520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58440 (or 58424 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 149547520 is about 12228.9623435515. The cubic root of 149547520 is about 530.7944889881.

It can be divided in two parts, 1 and 49547520, that added together give a square (49547521 = 70392).

The spelling of 149547520 in words is "one hundred forty-nine million, five hundred forty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 58417 116834 233668 292085 467336 584170 934672 1168340 1869344 2336680 3738688 4673360 7477376 9346720 14954752 18693440 29909504 37386880 74773760 149547520