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148986000 = 2433533189
BaseRepresentation
bin10001110000101…
…01100010010000
3101101100021101000
420320111202100
5301120023000
622441142000
73456234342
oct1070254220
9341307330
10148986000
117710a429
1241a8a900
1324b354c7
1415b03292
15d12e000
hex8e15890

148986000 has 320 divisors, whose sum is σ = 557107200. Its totient is φ = 38016000.

The previous prime is 148985999. The next prime is 148986007. The reversal of 148986000 is 689841.

It is a happy number.

148986000 is a `hidden beast` number, since 1 + 48 + 9 + 8 + 600 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148986007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1673956 + ... + 1674044.

It is an arithmetic number, because the mean of its divisors is an integer number (1740960).

Almost surely, 2148986000 is an apocalyptic number.

148986000 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 148986000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278553600).

148986000 is an abundant number, since it is smaller than the sum of its proper divisors (408121200).

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

148986000 is a wasteful number, since it uses less digits than its factorization.

148986000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 148986000 is about 12205.9821399181. The cubic root of 148986000 is about 530.1293145953.

It can be divided in two parts, 1 and 48986000, that added together give a square (48986001 = 69992).

The spelling of 148986000 in words is "one hundred forty-eight million, nine hundred eighty-six thousand".