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148147440 = 24357163541
BaseRepresentation
bin10001101010010…
…00110011110000
3101022202200002020
420311020303300
5300411204230
622411151440
73446142510
oct1065106360
9338680066
10148147440
1176697401
1241745580
132490090c
1415965840
15d015810
hex8d48cf0

148147440 has 160 divisors (see below), whose sum is σ = 529061376. Its totient is φ = 33592320.

The previous prime is 148147429. The next prime is 148147463. The reversal of 148147440 is 44741841.

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, 273570 + ... + 274110.

Almost surely, 2148147440 is an apocalyptic number.

148147440 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 148147440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264530688).

148147440 is an abundant number, since it is smaller than the sum of its proper divisors (380913936).

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

148147440 is a wasteful number, since it uses less digits than its factorization.

148147440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 148147440 is about 12171.5832988153. The cubic root of 148147440 is about 529.1328409017.

The spelling of 148147440 in words is "one hundred forty-eight million, one hundred forty-seven thousand, four hundred 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 84 105 112 120 140 163 168 210 240 280 326 336 420 489 541 560 652 815 840 978 1082 1141 1304 1623 1630 1680 1956 2164 2282 2445 2608 2705 3246 3260 3423 3787 3912 4328 4564 4890 5410 5705 6492 6520 6846 7574 7824 8115 8656 9128 9780 10820 11361 11410 12984 13040 13692 15148 16230 17115 18256 18935 19560 21640 22722 22820 25968 27384 30296 32460 34230 37870 39120 43280 45444 45640 54768 56805 60592 64920 68460 75740 88183 90888 91280 113610 129840 136920 151480 176366 181776 227220 264549 273840 302960 352732 440915 454440 529098 617281 705464 881830 908880 1058196 1234562 1322745 1410928 1763660 1851843 2116392 2469124 2645490 3086405 3527320 3703686 4232784 4938248 5290980 6172810 7054640 7407372 9259215 9876496 10581960 12345620 14814744 18518430 21163920 24691240 29629488 37036860 49382480 74073720 148147440