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148732080 = 24357223397
BaseRepresentation
bin10001101110101…
…11100010110000
3101100212101001120
420313113202300
5301033411310
622431502240
73454126140
oct1067274260
9340771046
10148732080
1176a56682
1241987980
1324a76a63
1415a78920
15d0cdb70
hex8dd78b0

148732080 has 160 divisors (see below), whose sum is σ = 530632704. Its totient is φ = 33758208.

The previous prime is 148732063. The next prime is 148732127. The reversal of 148732080 is 80237841.

148732080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1487320802 = 44242463242252800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374442 + ... + 374838.

Almost surely, 2148732080 is an apocalyptic number.

148732080 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 148732080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265316352).

148732080 is an abundant number, since it is smaller than the sum of its proper divisors (381900624).

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

148732080 is a wasteful number, since it uses less digits than its factorization.

148732080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 148732080 is about 12195.5762471480. The cubic root of 148732080 is about 529.8279731243.

The spelling of 148732080 in words is "one hundred forty-eight million, seven hundred thirty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 223 240 280 336 397 420 446 560 669 794 840 892 1115 1191 1338 1561 1588 1680 1784 1985 2230 2382 2676 2779 3122 3176 3345 3568 3970 4460 4683 4764 5352 5558 5955 6244 6352 6690 7805 7940 8337 8920 9366 9528 10704 11116 11910 12488 13380 13895 15610 15880 16674 17840 18732 19056 22232 23415 23820 24976 26760 27790 31220 31760 33348 37464 41685 44464 46830 47640 53520 55580 62440 66696 74928 83370 88531 93660 95280 111160 124880 133392 166740 177062 187320 222320 265593 333480 354124 374640 442655 531186 619717 666960 708248 885310 1062372 1239434 1327965 1416496 1770620 1859151 2124744 2478868 2655930 3098585 3541240 3718302 4249488 4957736 5311860 6197170 7082480 7436604 9295755 9915472 10623720 12394340 14873208 18591510 21247440 24788680 29746416 37183020 49577360 74366040 148732080