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148494320 = 245131737227
BaseRepresentation
bin10001101100111…
…01011111110000
3101100102021220122
420312131133300
5301003304240
622422425412
73452116022
oct1066353760
9340367818
10148494320
1176903a87
1241892268
13249c2780
1415a16012
15d0834b5
hex8d9d7f0

148494320 has 160 divisors (see below), whose sum is σ = 406099008. Its totient is φ = 49987584.

The previous prime is 148494301. The next prime is 148494323. The reversal of 148494320 is 23494841.

148494320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148494323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654047 + ... + 654273.

Almost surely, 2148494320 is an apocalyptic number.

148494320 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 148494320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203049504).

148494320 is an abundant number, since it is smaller than the sum of its proper divisors (257604688).

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

148494320 is a wasteful number, since it uses less digits than its factorization.

148494320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 148494320 is about 12185.8245515025. The cubic root of 148494320 is about 529.5454985702.

The spelling of 148494320 in words is "one hundred forty-eight million, four hundred ninety-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 37 40 52 65 68 74 80 85 104 130 136 148 170 185 208 221 227 260 272 296 340 370 442 454 481 520 592 629 680 740 884 908 962 1040 1105 1135 1258 1360 1480 1768 1816 1924 2210 2270 2405 2516 2951 2960 3145 3536 3632 3848 3859 4420 4540 4810 5032 5902 6290 7696 7718 8177 8399 8840 9080 9620 10064 11804 12580 14755 15436 16354 16798 17680 18160 19240 19295 23608 25160 29510 30872 32708 33596 38480 38590 40885 41995 47216 50167 50320 59020 61744 65416 67192 77180 81770 83990 100334 109187 118040 130832 134384 142783 154360 163540 167980 200668 218374 236080 250835 285566 308720 327080 335960 401336 436748 501670 545935 571132 654160 671920 713915 802672 873496 1003340 1091870 1142264 1427830 1746992 1856179 2006680 2183740 2284528 2855660 3712358 4013360 4367480 5711320 7424716 8734960 9280895 11422640 14849432 18561790 29698864 37123580 74247160 148494320