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148789120 = 275832801
BaseRepresentation
bin10001101111001…
…01011110000000
3101100222021022011
420313211132000
5301042222440
622433022304
73454454344
oct1067453600
9340867264
10148789120
1176a95517
12419b4994
1324a969cc
1415a91624
15d0e09ea
hex8de5780

148789120 has 64 divisors (see below), whose sum is σ = 360113040. Its totient is φ = 58777600.

The previous prime is 148789103. The next prime is 148789127. The reversal of 148789120 is 21987841.

It is a happy number.

148789120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148789127) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 51720 + ... + 54520.

Almost surely, 2148789120 is an apocalyptic number.

148789120 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 148789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180056520).

148789120 is an abundant number, since it is smaller than the sum of its proper divisors (211323920).

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

148789120 is an equidigital number, since it uses as much as digits as its factorization.

148789120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The square root of 148789120 is about 12197.9145758609. The cubic root of 148789120 is about 529.8956956246.

The spelling of 148789120 in words is "one hundred forty-eight million, seven hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 320 332 415 640 664 830 1328 1660 2656 2801 3320 5312 5602 6640 10624 11204 13280 14005 22408 26560 28010 44816 53120 56020 89632 112040 179264 224080 232483 358528 448160 464966 896320 929932 1162415 1792640 1859864 2324830 3719728 4649660 7439456 9299320 14878912 18598640 29757824 37197280 74394560 148789120