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147768330 = 23523331647
BaseRepresentation
bin10001100111011…
…00010000001010
3101022001102001010
420303230100022
5300312041310
622355104350
73443003313
oct1063542012
9338042033
10147768330
1176458596
12415a20b6
13247ca1a8
14158a760a
15ce8d320
hex8cec40a

147768330 has 64 divisors (see below), whose sum is σ = 371755008. Its totient is φ = 37519680.

The previous prime is 147768323. The next prime is 147768347. The reversal of 147768330 is 33867741.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 228067 + ... + 228713.

It is an arithmetic number, because the mean of its divisors is an integer number (5808672).

Almost surely, 2147768330 is an apocalyptic number.

147768330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 147768330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185877504).

147768330 is an abundant number, since it is smaller than the sum of its proper divisors (223986678).

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

147768330 is a wasteful number, since it uses less digits than its factorization.

147768330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011.

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 147768330 is about 12155.9997532083. Note that the first 3 decimals coincide. The cubic root of 147768330 is about 528.6811042023.

The spelling of 147768330 in words is "one hundred forty-seven million, seven hundred sixty-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 331 345 647 662 690 993 1294 1655 1941 1986 3235 3310 3882 4965 6470 7613 9705 9930 14881 15226 19410 22839 29762 38065 44643 45678 74405 76130 89286 114195 148810 214157 223215 228390 428314 446430 642471 1070785 1284942 2141570 3212355 4925611 6424710 9851222 14776833 24628055 29553666 49256110 73884165 147768330