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148401720 = 23345163281
BaseRepresentation
bin10001101100001…
…10111000111000
3101100020120220000
420312012320320
5300442323340
622420433000
73451252035
oct1066067070
9340216800
10148401720
1176850455
1241848760
132498c58c
14159d038c
15d065d30
hex8d86e38

148401720 has 160 divisors (see below), whose sum is σ = 503640720. Its totient is φ = 39191040.

The previous prime is 148401707. The next prime is 148401731. The reversal of 148401720 is 27104841.

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 527980 + ... + 528260.

Almost surely, 2148401720 is an apocalyptic number.

148401720 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 148401720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251820360).

148401720 is an abundant number, since it is smaller than the sum of its proper divisors (355239000).

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

148401720 is a wasteful number, since it uses less digits than its factorization.

148401720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 148401720 is about 12182.0244622969. The cubic root of 148401720 is about 529.4354020819.

The spelling of 148401720 in words is "one hundred forty-eight million, four hundred one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 163 180 216 270 281 324 326 360 405 489 540 562 648 652 810 815 843 978 1080 1124 1304 1405 1467 1620 1630 1686 1956 2248 2445 2529 2810 2934 3240 3260 3372 3912 4215 4401 4890 5058 5620 5868 6520 6744 7335 7587 8430 8802 9780 10116 11240 11736 12645 13203 14670 15174 16860 17604 19560 20232 22005 22761 25290 26406 29340 30348 33720 35208 37935 44010 45522 45803 50580 52812 58680 60696 66015 75870 88020 91044 91606 101160 105624 113805 132030 137409 151740 176040 182088 183212 227610 229015 264060 274818 303480 366424 412227 455220 458030 528120 549636 687045 824454 910440 916060 1099272 1236681 1374090 1648908 1832120 2061135 2473362 2748180 3297816 3710043 4122270 4946724 5496360 6183405 7420086 8244540 9893448 12366810 14840172 16489080 18550215 24733620 29680344 37100430 49467240 74200860 148401720