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148278240 = 253251122337
BaseRepresentation
bin10001101011010…
…00101111100000
3101100000022111200
420311220233200
5300424400430
622414041200
73450226035
oct1065505740
9340008450
10148278240
1176776700
12417a9200
1324948306
141599b38c
15d03e460
hex8d68be0

148278240 has 432 divisors, whose sum is σ = 596048544. Its totient is φ = 33454080.

The previous prime is 148278227. The next prime is 148278253. The reversal of 148278240 is 42872841.

148278240 is a `hidden beast` number, since 148 + 278 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (148278227) and next prime (148278253).

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 = 148278195 and 148278204.

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 71 ways as a sum of consecutive naturals, for example, 4007502 + ... + 4007538.

It is an arithmetic number, because the mean of its divisors is an integer number (1379742).

Almost surely, 2148278240 is an apocalyptic number.

148278240 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 148278240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298024272).

148278240 is an abundant number, since it is smaller than the sum of its proper divisors (447770304).

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

148278240 is a wasteful number, since it uses less digits than its factorization.

148278240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 148278240 is about 12176.9552844707. The cubic root of 148278240 is about 529.2885196337.

The spelling of 148278240 in words is "one hundred forty-eight million, two hundred seventy-eight thousand, two hundred forty".