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149293940 = 2258983873
BaseRepresentation
bin10001110011000…
…00101101110100
3101101220220210012
420321200231310
5301204401230
622451515352
73461656205
oct1071405564
9341826705
10149293940
11772aa824
1241bb8b58
1324c12713
1415b835ac
15d190395
hex8e60b74

149293940 has 24 divisors (see below), whose sum is σ = 317043720. Its totient is φ = 59045888.

The previous prime is 149293939. The next prime is 149293967. The reversal of 149293940 is 49392941.

149293940 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1136356 + 148157584 = 1066^2 + 12172^2 .

149293940 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

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, 40157 + ... + 43716.

It is an arithmetic number, because the mean of its divisors is an integer number (13210155).

Almost surely, 2149293940 is an apocalyptic number.

149293940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149293940 is an abundant number, since it is smaller than the sum of its proper divisors (167749780).

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

149293940 is a wasteful number, since it uses less digits than its factorization.

149293940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83971 (or 83969 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 149293940 is about 12218.5899350130. The cubic root of 149293940 is about 530.4943056624.

Subtracting from 149293940 its reverse (49392941), we obtain a palindrome (99900999).

The spelling of 149293940 in words is "one hundred forty-nine million, two hundred ninety-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 89 178 356 445 890 1780 83873 167746 335492 419365 838730 1677460 7464697 14929394 29858788 37323485 74646970 149293940