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147299040 = 2533574871
BaseRepresentation
bin10001100011110…
…01101011100000
3101021011120022000
420301321223200
5300202032130
622341044000
73436010160
oct1061715340
9337146260
10147299040
1176167a49
12413b6600
13246946c5
14157c45a0
15cde9260
hex8c79ae0

147299040 has 192 divisors, whose sum is σ = 589317120. Its totient is φ = 33661440.

The previous prime is 147299029. The next prime is 147299051. The reversal of 147299040 is 40992741.

It is an interprime number because it is at equal distance from previous prime (147299029) and next prime (147299051).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 147298986 and 147299004.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 27805 + ... + 32675.

It is an arithmetic number, because the mean of its divisors is an integer number (3069360).

Almost surely, 2147299040 is an apocalyptic number.

147299040 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 147299040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294658560).

147299040 is an abundant number, since it is smaller than the sum of its proper divisors (442018080).

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

147299040 is a wasteful number, since it uses less digits than its factorization.

147299040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4902 (or 4888 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 147299040 is about 12136.6815892978. The cubic root of 147299040 is about 528.1208401106.

The spelling of 147299040 in words is "one hundred forty-seven million, two hundred ninety-nine thousand, forty".