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148431780 = 223257216829
BaseRepresentation
bin10001101100011…
…10001110100100
3101100022010010100
420312032032210
5300444304110
622421224100
73451435500
oct1066161644
9340263110
10148431780
1176870aa2
1241862030
13249a0173
14159db300
15d06ebc0
hex8d8e3a4

148431780 has 108 divisors (see below), whose sum is σ = 523783260. Its totient is φ = 33925248.

The previous prime is 148431739. The next prime is 148431793. The reversal of 148431780 is 87134841.

148431780 is a `hidden beast` number, since 1 + 484 + 3 + 178 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21734244 + 126697536 = 4662^2 + 11256^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 406 + ... + 17234.

It is an arithmetic number, because the mean of its divisors is an integer number (4849845).

Almost surely, 2148431780 is an apocalyptic number.

148431780 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 148431780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261891630).

148431780 is an abundant number, since it is smaller than the sum of its proper divisors (375351480).

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

148431780 is a wasteful number, since it uses less digits than its factorization.

148431780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16858 (or 16846 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 148431780 is about 12183.2581849028. The cubic root of 148431780 is about 529.4711468467.

The spelling of 148431780 in words is "one hundred forty-eight million, four hundred thirty-one thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 16829 33658 50487 67316 84145 100974 117803 151461 168290 201948 235606 252435 302922 336580 353409 471212 504870 589015 605844 706818 757305 824621 1009740 1060227 1178030 1413636 1514610 1649242 1767045 2120454 2356060 2473863 3029220 3298484 3534090 4123105 4240908 4947726 5301135 7068180 7421589 8246210 9895452 10602270 12369315 14843178 16492420 21204540 24738630 29686356 37107945 49477260 74215890 148431780