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148066416 = 24323141809
BaseRepresentation
bin10001101001101…
…01000001110000
3101022121112221100
420310311001300
5300401111131
622405324400
73445354341
oct1064650160
9338545840
10148066416
1176641543
1241706700
13248a2a84
14159440c8
15ceeb7e6
hex8d35070

148066416 has 120 divisors (see below), whose sum is σ = 438721920. Its totient is φ = 46540800.

The previous prime is 148066397. The next prime is 148066417. The reversal of 148066416 is 614660841.

148066416 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 6 + 641 + 6 = 666.

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 (148066417) by changing a digit.

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, 182620 + ... + 183428.

It is an arithmetic number, because the mean of its divisors is an integer number (3656016).

Almost surely, 2148066416 is an apocalyptic number.

148066416 is a gapful number since it is divisible by the number (16) 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 148066416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219360960).

148066416 is an abundant number, since it is smaller than the sum of its proper divisors (290655504).

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

148066416 is a wasteful number, since it uses less digits than its factorization.

148066416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 148066416 is about 12168.2544352097. The cubic root of 148066416 is about 529.0363598161.

It can be divided in two parts, 1480 and 66416, that added together give a triangular number (67896 = T368).

The spelling of 148066416 in words is "one hundred forty-eight million, sixty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 41 48 62 72 82 93 123 124 144 164 186 246 248 279 328 369 372 492 496 558 656 738 744 809 984 1116 1271 1476 1488 1618 1968 2232 2427 2542 2952 3236 3813 4464 4854 5084 5904 6472 7281 7626 9708 10168 11439 12944 14562 15252 19416 20336 22878 25079 29124 30504 33169 38832 45756 50158 58248 61008 66338 75237 91512 99507 100316 116496 132676 150474 183024 199014 200632 225711 265352 298521 300948 398028 401264 451422 530704 597042 601896 796056 902844 1028239 1194084 1203792 1592112 1805688 2056478 2388168 3084717 3611376 4112956 4776336 6169434 8225912 9254151 12338868 16451824 18508302 24677736 37016604 49355472 74033208 148066416