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148025520 = 24325832477
BaseRepresentation
bin10001101001010…
…11000010110000
3101022112110211200
420310223002300
5300343304040
622404411200
73445124166
oct1064530260
9338473750
10148025520
1176613845
12416a6b00
132488a286
1415933236
15cede630
hex8d2b0b0

148025520 has 120 divisors (see below), whose sum is σ = 503311536. Its totient is φ = 38982144.

The previous prime is 148025519. The next prime is 148025533. The reversal of 148025520 is 25520841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58522 + ... + 60998.

Almost surely, 2148025520 is an apocalyptic number.

148025520 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 148025520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251655768).

148025520 is an abundant number, since it is smaller than the sum of its proper divisors (355286016).

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

148025520 is a wasteful number, since it uses less digits than its factorization.

148025520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 148025520 is about 12166.5738809247. The cubic root of 148025520 is about 528.9876486504.

It can be divided in two parts, 1480 and 25520, that added together give a cube (27000 = 303).

The spelling of 148025520 in words is "one hundred forty-eight million, twenty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 83 90 120 144 166 180 240 249 332 360 415 498 664 720 747 830 996 1245 1328 1494 1660 1992 2477 2490 2988 3320 3735 3984 4954 4980 5976 6640 7431 7470 9908 9960 11952 12385 14862 14940 19816 19920 22293 24770 29724 29880 37155 39632 44586 49540 59448 59760 74310 89172 99080 111465 118896 148620 178344 198160 205591 222930 297240 356688 411182 445860 594480 616773 822364 891720 1027955 1233546 1644728 1783440 1850319 2055910 2467092 3083865 3289456 3700638 4111820 4934184 6167730 7401276 8223640 9251595 9868368 12335460 14802552 16447280 18503190 24670920 29605104 37006380 49341840 74012760 148025520