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149154016 = 2511491863
BaseRepresentation
bin10001110001111…
…10100011100000
3101101122210211211
420320332203200
5301140412031
622444515504
73460534234
oct1070764340
9341583754
10149154016
1177214690
1241b4bb94
1324b93b1b
1415b485c4
15d163bb1
hex8e3e8e0

149154016 has 48 divisors (see below), whose sum is σ = 321366528. Its totient is φ = 67580800.

The previous prime is 149154013. The next prime is 149154029. The reversal of 149154016 is 610451941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149154013) 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, 172401 + ... + 173263.

It is an arithmetic number, because the mean of its divisors is an integer number (6695136).

Almost surely, 2149154016 is an apocalyptic number.

149154016 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 149154016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160683264).

149154016 is an abundant number, since it is smaller than the sum of its proper divisors (172212512).

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

149154016 is a wasteful number, since it uses less digits than its factorization.

149154016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 149154016 is about 12212.8627274689. The cubic root of 149154016 is about 530.3285206627.

The spelling of 149154016 in words is "one hundred forty-nine million, one hundred fifty-four thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 491 863 982 1726 1964 3452 3928 5401 6904 7856 9493 10802 13808 15712 18986 21604 27616 37972 43208 75944 86416 151888 172832 303776 423733 847466 1694932 3389864 4661063 6779728 9322126 13559456 18644252 37288504 74577008 149154016