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151441920 = 293357313
BaseRepresentation
bin10010000011011…
…01001000000000
3101112222001021000
421001231020000
5302232120140
623005532000
73516143430
oct1101551000
9345861230
10151441920
1178537613
1242874000
13254b5306
14161822c0
15d466a30
hex906d200

151441920 has 320 divisors, whose sum is σ = 616746240. Its totient is φ = 34504704.

The previous prime is 151441879. The next prime is 151441921. The reversal of 151441920 is 29144151.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (151441921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483684 + ... + 483996.

It is an arithmetic number, because the mean of its divisors is an integer number (1927332).

Almost surely, 2151441920 is an apocalyptic number.

151441920 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 151441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308373120).

151441920 is an abundant number, since it is smaller than the sum of its proper divisors (465304320).

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

151441920 is an equidigital number, since it uses as much as digits as its factorization.

151441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 151441920 is about 12306.1740602025. The cubic root of 151441920 is about 533.0263789251.

It can be divided in two parts, 1514 and 41920, that added together give a palindrome (43434).

The spelling of 151441920 in words is "one hundred fifty-one million, four hundred forty-one thousand, nine hundred twenty".