Search a number
-
+
148432560 = 24351943757
BaseRepresentation
bin10001101100011…
…10011010110000
3101100022011012020
420312032122300
5300444320220
622421231440
73451440663
oct1066163260
9340264166
10148432560
1176871641
1241862580
13249a0623
14159db6da
15d070040
hex8d8e6b0

148432560 has 160 divisors (see below), whose sum is σ = 496277760. Its totient is φ = 36578304.

The previous prime is 148432553. The next prime is 148432577. The reversal of 148432560 is 65234841.

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 31 ways as a sum of consecutive naturals, for example, 195702 + ... + 196458.

It is an arithmetic number, because the mean of its divisors is an integer number (3101736).

Almost surely, 2148432560 is an apocalyptic number.

148432560 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 148432560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248138880).

148432560 is an abundant number, since it is smaller than the sum of its proper divisors (347845200).

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

148432560 is a wasteful number, since it uses less digits than its factorization.

148432560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 148432560 is about 12183.2901960021. The cubic root of 148432560 is about 529.4720742913.

The spelling of 148432560 in words is "one hundred forty-eight million, four hundred thirty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 43 48 57 60 76 80 86 95 114 120 129 152 172 190 215 228 240 258 285 304 344 380 430 456 516 570 645 688 757 760 817 860 912 1032 1140 1290 1514 1520 1634 1720 2064 2271 2280 2451 2580 3028 3268 3440 3785 4085 4542 4560 4902 5160 6056 6536 7570 8170 9084 9804 10320 11355 12112 12255 13072 14383 15140 16340 18168 19608 22710 24510 28766 30280 32551 32680 36336 39216 43149 45420 49020 57532 60560 65102 65360 71915 86298 90840 97653 98040 115064 130204 143830 162755 172596 181680 195306 196080 215745 230128 260408 287660 325510 345192 390612 431490 488265 520816 575320 618469 651020 690384 781224 862980 976530 1150640 1236938 1302040 1562448 1725960 1855407 1953060 2473876 2604080 3092345 3451920 3710814 3906120 4947752 6184690 7421628 7812240 9277035 9895504 12369380 14843256 18554070 24738760 29686512 37108140 49477520 74216280 148432560