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148082000 = 24531153127
BaseRepresentation
bin10001101001110…
…00110101010000
3101022122100022112
420310320311100
5300402111000
622405524452
73445450643
oct1064706520
9338570275
10148082000
1176652220
1241713728
13248a9bb1
1415949a5a
15d001235
hex8d38d50

148082000 has 160 divisors (see below), whose sum is σ = 401117184. Its totient is φ = 52416000.

The previous prime is 148081963. The next prime is 148082021. The reversal of 148082000 is 280841.

It is a nialpdrome in base 11.

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, 1165937 + ... + 1166063.

Almost surely, 2148082000 is an apocalyptic number.

148082000 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 148082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200558592).

148082000 is an abundant number, since it is smaller than the sum of its proper divisors (253035184).

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

148082000 is a wasteful number, since it uses less digits than its factorization.

148082000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 148082000 is about 12168.8947731501. The cubic root of 148082000 is about 529.0549195355.

The spelling of 148082000 in words is "one hundred forty-eight million, eighty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 53 55 80 88 100 106 110 125 127 176 200 212 220 250 254 265 275 400 424 440 500 508 530 550 583 635 848 880 1000 1016 1060 1100 1166 1270 1325 1375 1397 2000 2032 2120 2200 2332 2540 2650 2750 2794 2915 3175 4240 4400 4664 5080 5300 5500 5588 5830 6350 6625 6731 6985 9328 10160 10600 11000 11176 11660 12700 13250 13462 13970 14575 15875 21200 22000 22352 23320 25400 26500 26924 27940 29150 31750 33655 34925 46640 50800 53000 53848 55880 58300 63500 67310 69850 72875 74041 106000 107696 111760 116600 127000 134620 139700 145750 148082 168275 174625 233200 254000 269240 279400 291500 296164 336550 349250 370205 538480 558800 583000 592328 673100 698500 740410 841375 1166000 1184656 1346200 1397000 1480820 1682750 1851025 2692400 2794000 2961640 3365500 3702050 5923280 6731000 7404100 9255125 13462000 14808200 18510250 29616400 37020500 74041000 148082000