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148701168 = 243271113411
BaseRepresentation
bin10001101110011…
…11111111110000
3101100210210122200
420313033333300
5301031414133
622431103200
73453640050
oct1067177760
9340723580
10148701168
1176a35430
1241971b00
1324a65975
1415a6b560
15d0c4913
hex8dcfff0

148701168 has 120 divisors (see below), whose sum is σ = 518883456. Its totient is φ = 38620800.

The previous prime is 148701139. The next prime is 148701169. The reversal of 148701168 is 861107841.

It is a super-2 number, since 2×1487011682 = 44224074729128448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148701169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4383 + ... + 17793.

Almost surely, 2148701168 is an apocalyptic number.

148701168 is a gapful number since it is divisible by the number (18) 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 148701168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259441728).

148701168 is an abundant number, since it is smaller than the sum of its proper divisors (370182288).

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

148701168 is a wasteful number, since it uses less digits than its factorization.

148701168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13443 (or 13434 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 148701168 is about 12194.3088365024. The cubic root of 148701168 is about 529.7912646637.

The spelling of 148701168 in words is "one hundred forty-eight million, seven hundred one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 11088 13411 26822 40233 53644 80466 93877 107288 120699 147521 160932 187754 214576 241398 281631 295042 321864 375508 442563 482796 563262 590084 643728 751016 844893 885126 965592 1032647 1126524 1180168 1327689 1502032 1689786 1770252 1931184 2065294 2253048 2360336 2655378 3097941 3379572 3540504 4130588 4506096 5310756 6195882 6759144 7081008 8261176 9293823 10621512 12391764 13518288 16522352 18587646 21243024 24783528 37175292 49567056 74350584 148701168