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148630320 = 243251712143
BaseRepresentation
bin10001101101111…
…10101100110000
3101100200012110200
420312332230300
5301022132240
622425355200
73453223356
oct1066765460
9340605420
10148630320
1176997183
1241938b00
1324a3c647
1415a4d7d6
15d0ad930
hex8dbeb30

148630320 has 120 divisors (see below), whose sum is σ = 528555456. Its totient is φ = 37300224.

The previous prime is 148630319. The next prime is 148630327. The reversal of 148630320 is 23036841.

It is a happy number.

148630320 is a `hidden beast` number, since 1 + 4 + 8 + 630 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (148630327) 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, 6169 + ... + 18311.

Almost surely, 2148630320 is an apocalyptic number.

148630320 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 148630320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264277728).

148630320 is an abundant number, since it is smaller than the sum of its proper divisors (379925136).

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

148630320 is a wasteful number, since it uses less digits than its factorization.

148630320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12179 (or 12170 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 148630320 is about 12191.4035287165. The cubic root of 148630320 is about 529.7071124124.

The spelling of 148630320 in words is "one hundred forty-eight million, six hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12143 12240 24286 36429 48572 60715 72858 97144 109287 121430 145716 182145 194288 206431 218574 242860 291432 364290 412862 437148 485720 546435 582864 619293 728580 825724 874296 971440 1032155 1092870 1238586 1457160 1651448 1748592 1857879 2064310 2185740 2477172 2914320 3096465 3302896 3715758 4128620 4371480 4954344 6192930 7431516 8257240 8742960 9289395 9908688 12385860 14863032 16514480 18578790 24771720 29726064 37157580 49543440 74315160 148630320