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151970208 = 253132171929
BaseRepresentation
bin10010000111011…
…10000110100000
3101120221212221020
421003232012200
5302401021313
623025125440
73523503555
oct1103560640
9346855836
10151970208
1178868515
1242a89880
132563b900
141627ca2c
15d51d323
hex90ee1a0

151970208 has 288 divisors, whose sum is σ = 498052800. Its totient is φ = 40255488.

The previous prime is 151970207. The next prime is 151970249. The reversal of 151970208 is 802079151.

It is not an unprimeable number, because it can be changed into a prime (151970201) 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 47 ways as a sum of consecutive naturals, for example, 5240338 + ... + 5240366.

It is an arithmetic number, because the mean of its divisors is an integer number (1729350).

Almost surely, 2151970208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151970208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249026400).

151970208 is an abundant number, since it is smaller than the sum of its proper divisors (346082592).

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

151970208 is a wasteful number, since it uses less digits than its factorization.

151970208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 151970208 is about 12327.6197215845. The cubic root of 151970208 is about 533.6454603513.

The spelling of 151970208 in words is "one hundred fifty-one million, nine hundred seventy thousand, two hundred eight".