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148853040 = 24357251353
BaseRepresentation
bin10001101111101…
…01000100110000
3101101002111222120
420313311010300
5301101244130
622434234240
73455141610
oct1067650460
9341074876
10148853040
1177029546
1241a25980
1324ab9b2b
1415aaaa40
15d104910
hex8df5130

148853040 has 160 divisors (see below), whose sum is σ = 530966016. Its totient is φ = 33792000.

The previous prime is 148853039. The next prime is 148853051. The reversal of 148853040 is 40358841.

It is a junction number, because it is equal to n+sod(n) for n = 148852992 and 148853010.

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, 421504 + ... + 421856.

Almost surely, 2148853040 is an apocalyptic number.

148853040 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 148853040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265483008).

148853040 is an abundant number, since it is smaller than the sum of its proper divisors (382112976).

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

148853040 is a wasteful number, since it uses less digits than its factorization.

148853040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 148853040 is about 12200.5344145246. The cubic root of 148853040 is about 529.9715660550.

The spelling of 148853040 in words is "one hundred forty-eight million, eight hundred fifty-three thousand, forty".

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 84 105 112 120 140 168 210 240 251 280 336 353 420 502 560 706 753 840 1004 1059 1255 1412 1506 1680 1757 1765 2008 2118 2471 2510 2824 3012 3514 3530 3765 4016 4236 4942 5020 5271 5295 5648 6024 7028 7060 7413 7530 8472 8785 9884 10040 10542 10590 12048 12355 14056 14120 14826 15060 16944 17570 19768 20080 21084 21180 24710 26355 28112 28240 29652 30120 35140 37065 39536 42168 42360 49420 52710 59304 60240 70280 74130 84336 84720 88603 98840 105420 118608 140560 148260 177206 197680 210840 265809 296520 354412 421680 443015 531618 593040 620221 708824 886030 1063236 1240442 1329045 1417648 1772060 1860663 2126472 2480884 2658090 3101105 3544120 3721326 4252944 4961768 5316180 6202210 7088240 7442652 9303315 9923536 10632360 12404420 14885304 18606630 21264720 24808840 29770608 37213260 49617680 74426520 148853040