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153381480 = 233571723467
BaseRepresentation
bin10010010010001…
…10101001101000
3101200121120211120
421021012221220
5303231201410
623115255240
73541502220
oct1111065150
9350546746
10153381480
117964185a
124344a520
1325a14095
1416529080
15d6eb570
hex9246a68

153381480 has 256 divisors, whose sum is σ = 582266880. Its totient is φ = 31494144.

The previous prime is 153381469. The next prime is 153381491. The reversal of 153381480 is 84183351.

It is an interprime number because it is at equal distance from previous prime (153381469) and next prime (153381491).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 328207 + ... + 328673.

It is an arithmetic number, because the mean of its divisors is an integer number (2274480).

Almost surely, 2153381480 is an apocalyptic number.

153381480 is a gapful number since it is divisible by the number (10) 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 153381480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291133440).

153381480 is an abundant number, since it is smaller than the sum of its proper divisors (428885400).

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

153381480 is a wasteful number, since it uses less digits than its factorization.

153381480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 153381480 is about 12384.7276917985. The cubic root of 153381480 is about 535.2922734095.

The spelling of 153381480 in words is "one hundred fifty-three million, three hundred eighty-one thousand, four hundred eighty".