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148500960 = 2535192857
BaseRepresentation
bin10001101100111…
…11000111100000
3101100102122000120
420312133013200
5301004012320
622422520240
73452144256
oct1066370740
9340378016
10148500960
1176908a73
1241896080
13249c57ba
1415a185d6
15d085440
hex8d9f1e0

148500960 has 144 divisors (see below), whose sum is σ = 494269776. Its totient is φ = 37472256.

The previous prime is 148500953. The next prime is 148500991. The reversal of 148500960 is 69005841.

148500960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172852 + ... + 173708.

It is an arithmetic number, because the mean of its divisors is an integer number (3432429).

Almost surely, 2148500960 is an apocalyptic number.

148500960 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 148500960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247134888).

148500960 is an abundant number, since it is smaller than the sum of its proper divisors (345768816).

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

148500960 is a wasteful number, since it uses less digits than its factorization.

148500960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 148500960 is about 12186.0969961674. The cubic root of 148500960 is about 529.5533914191.

The spelling of 148500960 in words is "one hundred forty-eight million, five hundred thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 361 380 456 480 570 608 722 760 857 912 1083 1140 1444 1520 1714 1805 1824 2166 2280 2571 2888 3040 3428 3610 4285 4332 4560 5142 5415 5776 6856 7220 8570 8664 9120 10284 10830 11552 12855 13712 14440 16283 17140 17328 20568 21660 25710 27424 28880 32566 34280 34656 41136 43320 48849 51420 57760 65132 68560 81415 82272 86640 97698 102840 130264 137120 162830 173280 195396 205680 244245 260528 309377 325660 390792 411360 488490 521056 618754 651320 781584 928131 976980 1237508 1302640 1546885 1563168 1856262 1953960 2475016 2605280 3093770 3712524 3907920 4640655 4950032 6187540 7425048 7815840 9281310 9900064 12375080 14850096 18562620 24750160 29700192 37125240 49500320 74250480 148500960