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148713984 = 293259547
BaseRepresentation
bin10001101110100…
…11001000000000
3101100211110020100
420313103020000
5301032321414
622431242400
73454022316
oct1067231000
9340743210
10148713984
1176a44021
1241979400
1324a6b753
1415a720b6
15d0c8609
hex8dd3200

148713984 has 120 divisors (see below), whose sum is σ = 437271120. Its totient is φ = 48642048.

The previous prime is 148713959. The next prime is 148714003. The reversal of 148713984 is 489317841.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 271599 + ... + 272145.

It is an arithmetic number, because the mean of its divisors is an integer number (3643926).

Almost surely, 2148713984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148713984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218635560).

148713984 is an abundant number, since it is smaller than the sum of its proper divisors (288557136).

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

148713984 is an equidigital number, since it uses as much as digits as its factorization.

148713984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 611 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 148713984 is about 12194.8343162177. The cubic root of 148713984 is about 529.8064844720.

The spelling of 148713984 in words is "one hundred forty-eight million, seven hundred thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 256 288 354 384 472 512 531 547 576 708 768 944 1062 1094 1152 1416 1536 1641 1888 2124 2188 2304 2832 3282 3776 4248 4376 4608 4923 5664 6564 7552 8496 8752 9846 11328 13128 15104 16992 17504 19692 22656 26256 30208 32273 33984 35008 39384 45312 52512 64546 67968 70016 78768 90624 96819 105024 129092 135936 140032 157536 193638 210048 258184 271872 280064 290457 315072 387276 420096 516368 580914 630144 774552 840192 1032736 1161828 1260288 1549104 2065472 2323656 2520576 3098208 4130944 4647312 6196416 8261888 9294624 12392832 16523776 18589248 24785664 37178496 49571328 74356992 148713984