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148970584 = 23723710271
BaseRepresentation
bin10001110000100…
…01110001011000
3101101022111020001
420320101301120
5301114024314
622440542344
73456141400
oct1070216130
9341274201
10148970584
11770a9894
1241a819b4
1324b2b499
1415adb800
15d129674
hex8e11c58

148970584 has 48 divisors (see below), whose sum is σ = 333737280. Its totient is φ = 62112960.

The previous prime is 148970581. The next prime is 148970587. The reversal of 148970584 is 485079841.

It is an interprime number because it is at equal distance from previous prime (148970581) and next prime (148970587).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148970581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9369 + ... + 19639.

It is an arithmetic number, because the mean of its divisors is an integer number (6952860).

Almost surely, 2148970584 is an apocalyptic number.

148970584 is a gapful number since it is divisible by the number (14) 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 148970584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166868640).

148970584 is an abundant number, since it is smaller than the sum of its proper divisors (184766696).

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

148970584 is a wasteful number, since it uses less digits than its factorization.

148970584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10328 (or 10317 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The square root of 148970584 is about 12205.3506299491. The cubic root of 148970584 is about 530.1110293081. Note that the first 3 decimals are identical.

The spelling of 148970584 in words is "one hundred forty-eight million, nine hundred seventy thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 196 259 296 392 518 1036 1813 2072 3626 7252 10271 14504 20542 41084 71897 82168 143794 287588 380027 503279 575176 760054 1006558 1520108 2013116 2660189 3040216 4026232 5320378 10640756 18621323 21281512 37242646 74485292 148970584