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148947120 = 2433579851
BaseRepresentation
bin10001110000011…
…00000010110000
3101101021022001000
420320030002300
5301112301440
622440242000
73456013110
oct1070140260
9341238030
10148947120
11770931a3
1241a70300
1324b208ba
1415ad3040
15d122730
hex8e0c0b0

148947120 has 160 divisors (see below), whose sum is σ = 586391040. Its totient is φ = 34041600.

The previous prime is 148947101. The next prime is 148947121. The reversal of 148947120 is 21749841.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (148947121) 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, 10195 + ... + 20045.

It is an arithmetic number, because the mean of its divisors is an integer number (3664944).

Almost surely, 2148947120 is an apocalyptic number.

148947120 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 148947120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293195520).

148947120 is an abundant number, since it is smaller than the sum of its proper divisors (437443920).

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

148947120 is a wasteful number, since it uses less digits than its factorization.

148947120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9880 (or 9868 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 148947120 is about 12204.3893743194. The cubic root of 148947120 is about 530.0831956737.

The spelling of 148947120 in words is "one hundred forty-eight million, nine hundred forty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 9851 15120 19702 29553 39404 49255 59106 68957 78808 88659 98510 118212 137914 147765 157616 177318 197020 206871 236424 265977 275828 295530 344785 354636 394040 413742 443295 472848 531954 551656 591060 620613 689570 709272 788080 827484 886590 1034355 1063908 1103312 1182120 1241226 1329885 1379140 1418544 1654968 1773180 1861839 2068710 2127816 2364240 2482452 2659770 2758280 3103065 3309936 3546360 3723678 4137420 4255632 4964904 5319540 5516560 6206130 7092720 7447356 8274840 9309195 9929808 10639080 12412260 14894712 16549680 18618390 21278160 24824520 29789424 37236780 49649040 74473560 148947120