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148716672 = 27313313
BaseRepresentation
bin10001101110100…
…11110010000000
3101100211120220220
420313103302000
5301032413142
622431303040
73454033206
oct1067236200
9340746826
10148716672
1176a46045
124197aa80
1324a6ca40
1415a73076
15d0c92ec
hex8dd3c80

148716672 has 128 divisors (see below), whose sum is σ = 439595520. Its totient is φ = 44282880.

The previous prime is 148716649. The next prime is 148716709. The reversal of 148716672 is 276617841.

148716672 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 (128).

Its product of digits (112896) is a multiple of the sum of its prime divisors (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4797297 + ... + 4797327.

It is an arithmetic number, because the mean of its divisors is an integer number (3434340).

Almost surely, 2148716672 is an apocalyptic number.

148716672 is a gapful number since it is divisible by the number (12) 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 148716672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219797760).

148716672 is an abundant number, since it is smaller than the sum of its proper divisors (290878848).

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

148716672 is an frugal number, since it uses more digits than its factorization.

148716672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 49 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 148716672 is about 12194.9445263191. The cubic root of 148716672 is about 529.8096765305.

The spelling of 148716672 in words is "one hundred forty-eight million, seven hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 312 372 384 403 416 496 624 744 806 832 961 992 1209 1248 1488 1612 1664 1922 1984 2418 2496 2883 2976 3224 3844 3968 4836 4992 5766 5952 6448 7688 9672 11532 11904 12493 12896 15376 19344 23064 24986 25792 29791 30752 37479 38688 46128 49972 51584 59582 61504 74958 77376 89373 92256 99944 119164 123008 149916 154752 178746 184512 199888 238328 299832 357492 369024 387283 399776 476656 599664 714984 774566 799552 953312 1161849 1199328 1429968 1549132 1599104 1906624 2323698 2398656 2859936 3098264 3813248 4647396 4797312 5719872 6196528 9294792 11439744 12393056 18589584 24786112 37179168 49572224 74358336 148716672