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148031280 = 24335193607
BaseRepresentation
bin10001101001011…
…00011100110000
3101022112202202000
420310230130300
5300344000110
622404454000
73445150035
oct1064543460
9338482660
10148031280
1176618101
12416aa300
132488ca97
141593538c
15cee11c0
hex8d2c730

148031280 has 160 divisors (see below), whose sum is σ = 536870400. Its totient is φ = 37387008.

The previous prime is 148031269. The next prime is 148031281. The reversal of 148031280 is 82130841.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (148031281) 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, 39237 + ... + 42843.

It is an arithmetic number, because the mean of its divisors is an integer number (3355440).

Almost surely, 2148031280 is an apocalyptic number.

148031280 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 148031280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268435200).

148031280 is an abundant number, since it is smaller than the sum of its proper divisors (388839120).

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

148031280 is a wasteful number, since it uses less digits than its factorization.

148031280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3648 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 148031280 is about 12166.8105927560. The cubic root of 148031280 is about 528.9945099207.

The spelling of 148031280 in words is "one hundred forty-eight million, thirty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1368 1520 1710 2052 2160 2280 2565 2736 3420 3607 4104 4560 5130 6840 7214 8208 10260 10821 13680 14428 18035 20520 21642 28856 32463 36070 41040 43284 54105 57712 64926 68533 72140 86568 97389 108210 129852 137066 144280 162315 173136 194778 205599 216420 259704 274132 288560 324630 342665 389556 411198 432840 486945 519408 548264 616797 649260 685330 779112 822396 865680 973890 1027995 1096528 1233594 1298520 1370660 1558224 1644792 1850391 1947780 2055990 2467188 2597040 2741320 3083985 3289584 3700782 3895560 4111980 4934376 5482640 6167970 7401564 7791120 8223960 9251955 9868752 12335940 14803128 16447920 18503910 24671880 29606256 37007820 49343760 74015640 148031280