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154147840 = 21057111723
BaseRepresentation
bin10010011000000…
…01110000000000
3101202001112002021
421030001300000
5303430212330
623143531224
73551143420
oct1114016000
9352045067
10154147840
117a015610
1243759b14
1325c21b52
1416688480
15d7ed67a
hex9301c00

154147840 has 352 divisors, whose sum is σ = 509359104. Its totient is φ = 43253760.

The previous prime is 154147813. The next prime is 154147853. The reversal of 154147840 is 48741451.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 154147796 and 154147805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6702069 + ... + 6702091.

Almost surely, 2154147840 is an apocalyptic number.

154147840 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 154147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254679552).

154147840 is an abundant number, since it is smaller than the sum of its proper divisors (355211264).

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

154147840 is a wasteful number, since it uses less digits than its factorization.

154147840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 154147840 is about 12415.6288604323. The cubic root of 154147840 is about 536.1823097074.

The spelling of 154147840 in words is "one hundred fifty-four million, one hundred forty-seven thousand, eight hundred forty".