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147480066 = 23217617901
BaseRepresentation
bin10001100101001…
…01111000000010
3101021111202121200
420302211320002
5300223330231
622345002030
73440363016
oct1062457002
9337452550
10147480066
1176280a58
1241483316
1324728c16
1415830546
15ce32be6
hex8ca5e02

147480066 has 48 divisors (see below), whose sum is σ = 343926648. Its totient is φ = 45504000.

The previous prime is 147480043. The next prime is 147480101. The reversal of 147480066 is 660084741.

It can be written as a sum of positive squares in 4 ways, for example, as 119443041 + 28037025 = 10929^2 + 5295^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 147480066.

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 23 ways as a sum of consecutive naturals, for example, 14716 + ... + 22616.

Almost surely, 2147480066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147480066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171963324).

147480066 is an abundant number, since it is smaller than the sum of its proper divisors (196446582).

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

147480066 is a wasteful number, since it uses less digits than its factorization.

147480066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7987 (or 7984 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 147480066 is about 12144.1371039691. The cubic root of 147480066 is about 528.3370996446.

The spelling of 147480066 in words is "one hundred forty-seven million, four hundred eighty thousand, sixty-six".

Divisors: 1 2 3 6 9 17 18 34 51 61 102 122 153 183 306 366 549 1037 1098 2074 3111 6222 7901 9333 15802 18666 23703 47406 71109 134317 142218 268634 402951 481961 805902 963922 1208853 1445883 2417706 2891766 4337649 8193337 8675298 16386674 24580011 49160022 73740033 147480066