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148128680 = 2357737247
BaseRepresentation
bin10001101010001…
…00001110101000
3101022201201100102
420311010032220
5300410104210
622410524532
73446034020
oct1065041650
9338651312
10148128680
11766842a7
1241736748
13248c520b
141595ca80
15d00eea5
hex8d443a8

148128680 has 64 divisors (see below), whose sum is σ = 386173440. Its totient is φ = 50084352.

The previous prime is 148128677. The next prime is 148128683. The reversal of 148128680 is 86821841.

It is an interprime number because it is at equal distance from previous prime (148128677) and next prime (148128683).

It is not an unprimeable number, because it can be changed into a prime (148128683) 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 15 ways as a sum of consecutive naturals, for example, 16817 + ... + 24063.

It is an arithmetic number, because the mean of its divisors is an integer number (6033960).

Almost surely, 2148128680 is an apocalyptic number.

148128680 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 148128680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193086720).

148128680 is an abundant number, since it is smaller than the sum of its proper divisors (238044760).

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

148128680 is a wasteful number, since it uses less digits than its factorization.

148128680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7338 (or 7334 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 38.

The square root of 148128680 is about 12170.8126269366. The cubic root of 148128680 is about 529.1105051549.

The spelling of 148128680 in words is "one hundred forty-eight million, one hundred twenty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 73 140 146 280 292 365 511 584 730 1022 1460 2044 2555 2920 4088 5110 7247 10220 14494 20440 28988 36235 50729 57976 72470 101458 144940 202916 253645 289880 405832 507290 529031 1014580 1058062 2029160 2116124 2645155 3703217 4232248 5290310 7406434 10580620 14812868 18516085 21161240 29625736 37032170 74064340 148128680