Search a number
-
+
148090880 = 212571033
BaseRepresentation
bin10001101001110…
…11000000000000
3101022122210111102
420310323000000
5300402402010
622410033532
73445515560
oct1064730000
9338583442
10148090880
1176658963
12417188a8
13248b0c52
141594cda0
15d003ba5
hex8d3b000

148090880 has 104 divisors (see below), whose sum is σ = 406535712. Its totient is φ = 50724864.

The previous prime is 148090861. The next prime is 148090919. The reversal of 148090880 is 88090841.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142844 + ... + 143876.

Almost surely, 2148090880 is an apocalyptic number.

148090880 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 148090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203267856).

148090880 is an abundant number, since it is smaller than the sum of its proper divisors (258444832).

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

148090880 is an equidigital number, since it uses as much as digits as its factorization.

148090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The square root of 148090880 is about 12169.2596323688. The cubic root of 148090880 is about 529.0654945632.

The spelling of 148090880 in words is "one hundred forty-eight million, ninety thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1033 1120 1280 1792 2048 2066 2240 2560 3584 4096 4132 4480 5120 5165 7168 7231 8264 8960 10240 10330 14336 14462 16528 17920 20480 20660 28672 28924 33056 35840 36155 41320 57848 66112 71680 72310 82640 115696 132224 143360 144620 165280 231392 264448 289240 330560 462784 528896 578480 661120 925568 1057792 1156960 1322240 1851136 2115584 2313920 2644480 3702272 4231168 4627840 5288960 7404544 9255680 10577920 14809088 18511360 21155840 29618176 37022720 74045440 148090880