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148007400 = 233523759113
BaseRepresentation
bin10001101001001…
…10100111101000
3101022111112222120
420310212213220
5300342214100
622404151240
73445020312
oct1064464750
9338445876
10148007400
1176601172
1241698520
1324881c58
141592a7b2
15ced90a0
hex8d269e8

148007400 has 192 divisors, whose sum is σ = 483451200. Its totient is φ = 37416960.

The previous prime is 148007399. The next prime is 148007401. The reversal of 148007400 is 4700841.

148007400 = 10882 + 10892 + ... + 12002.

It is an interprime number because it is at equal distance from previous prime (148007399) and next prime (148007401).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (148007401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1309744 + ... + 1309856.

It is an arithmetic number, because the mean of its divisors is an integer number (2517975).

Almost surely, 2148007400 is an apocalyptic number.

148007400 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 148007400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241725600).

148007400 is an abundant number, since it is smaller than the sum of its proper divisors (335443800).

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

148007400 is a wasteful number, since it uses less digits than its factorization.

148007400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 148007400 is about 12165.8291949213. The cubic root of 148007400 is about 528.9660630766.

The spelling of 148007400 in words is "one hundred forty-eight million, seven thousand, four hundred".