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148873680 = 24335157439
BaseRepresentation
bin10001101111110…
…10000111010000
3101101010120022000
420313322013100
5301102424210
622434514000
73455256024
oct1067720720
9341116260
10148873680
1177042aaa
1241a35900
1324ac6347
1415ab4384
15d10aac0
hex8dfa1d0

148873680 has 160 divisors (see below), whose sum is σ = 517228800. Its totient is φ = 39356928.

The previous prime is 148873667. The next prime is 148873717. The reversal of 148873680 is 86378841.

148873680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 338901 + ... + 339339.

It is an arithmetic number, because the mean of its divisors is an integer number (3232680).

Almost surely, 2148873680 is an apocalyptic number.

148873680 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 148873680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258614400).

148873680 is an abundant number, since it is smaller than the sum of its proper divisors (368355120).

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

148873680 is a wasteful number, since it uses less digits than its factorization.

148873680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 148873680 is about 12201.3802497914. The cubic root of 148873680 is about 529.9960602531.

The spelling of 148873680 in words is "one hundred forty-eight million, eight hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 157 180 216 240 270 314 360 432 439 471 540 628 720 785 878 942 1080 1256 1317 1413 1570 1756 1884 2160 2195 2355 2512 2634 2826 3140 3512 3768 3951 4239 4390 4710 5268 5652 6280 6585 7024 7065 7536 7902 8478 8780 9420 10536 11304 11853 12560 13170 14130 15804 16956 17560 18840 19755 21072 21195 22608 23706 26340 28260 31608 33912 35120 37680 39510 42390 47412 52680 56520 59265 63216 67824 68923 79020 84780 94824 105360 113040 118530 137846 158040 169560 189648 206769 237060 275692 316080 339120 344615 413538 474120 551384 620307 689230 827076 948240 1033845 1102768 1240614 1378460 1654152 1860921 2067690 2481228 2756920 3101535 3308304 3721842 4135380 4962456 5513840 6203070 7443684 8270760 9304605 9924912 12406140 14887368 16541520 18609210 24812280 29774736 37218420 49624560 74436840 148873680