Search a number
-
+
149664040 = 2356475783
BaseRepresentation
bin10001110101110…
…11000100101000
3101102121201110121
420322323010220
5301303222130
622503453024
73465060211
oct1072730450
9342551417
10149664040
1177532899
1242157174
1325012006
1415c3c408
15d214d7a
hex8ebb128

149664040 has 32 divisors (see below), whose sum is σ = 337322880. Its totient is φ = 59762752.

The previous prime is 149664019. The next prime is 149664043. The reversal of 149664040 is 40466941.

It is a junction number, because it is equal to n+sod(n) for n = 149663987 and 149664005.

It is not an unprimeable number, because it can be changed into a prime (149664043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22989 + ... + 28771.

It is an arithmetic number, because the mean of its divisors is an integer number (10541340).

Almost surely, 2149664040 is an apocalyptic number.

149664040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149664040 is an abundant number, since it is smaller than the sum of its proper divisors (187658840).

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

149664040 is a wasteful number, since it uses less digits than its factorization.

149664040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6441 (or 6437 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 149664040 is about 12233.7255159661. The cubic root of 149664040 is about 530.9323094342.

It can be divided in two parts, 1496 and 64040, that added together give a 16-th power (65536 = 216).

The spelling of 149664040 in words is "one hundred forty-nine million, six hundred sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 647 1294 2588 3235 5176 5783 6470 11566 12940 23132 25880 28915 46264 57830 115660 231320 3741601 7483202 14966404 18708005 29932808 37416010 74832020 149664040