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149319936 = 283419379
BaseRepresentation
bin10001110011001…
…11000100000000
3101101222020110000
420321213010000
5301211214221
622452240000
73462125043
oct1071470400
9341866400
10149319936
1177318307
1242010000
1324c214bc
1415b8cc5a
15d197e26
hex8e67100

149319936 has 180 divisors, whose sum is σ = 469915600. Its totient is φ = 47029248.

The previous prime is 149319931. The next prime is 149319941. The reversal of 149319936 is 639913941.

It is an interprime number because it is at equal distance from previous prime (149319931) and next prime (149319941).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 149319891 and 149319900.

It is not an unprimeable number, because it can be changed into a prime (149319931) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 393795 + ... + 394173.

Almost surely, 2149319936 is an apocalyptic number.

149319936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149319936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234957800).

149319936 is an abundant number, since it is smaller than the sum of its proper divisors (320595664).

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

149319936 is an equidigital number, since it uses as much as digits as its factorization.

149319936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 403 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 149319936 is about 12219.6536775802. The cubic root of 149319936 is about 530.5250948772.

The spelling of 149319936 in words is "one hundred forty-nine million, three hundred nineteen thousand, nine hundred thirty-six".