Search a number
-
+
147963280 = 2455334897
BaseRepresentation
bin10001101000110…
…11110110010000
3101022102022110111
420310123312100
5300334311110
622403211104
73444444553
oct1064336620
9338368414
10147963280
1176581003
1241676a94
1324867b4a
141591869a
15cecae8a
hex8d1bd90

147963280 has 40 divisors (see below), whose sum is σ = 350515512. Its totient is φ = 58066944.

The previous prime is 147963271. The next prime is 147963281. The reversal of 147963280 is 82369741.

It can be written as a sum of positive squares in 4 ways, for example, as 2808976 + 145154304 = 1676^2 + 12048^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (147963281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13209 + ... + 21688.

Almost surely, 2147963280 is an apocalyptic number.

147963280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

147963280 is an abundant number, since it is smaller than the sum of its proper divisors (202552232).

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

147963280 is a wasteful number, since it uses less digits than its factorization.

147963280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34963 (or 34957 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 147963280 is about 12164.0157842712. The cubic root of 147963280 is about 528.9134974570.

The spelling of 147963280 in words is "one hundred forty-seven million, nine hundred sixty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 34897 69794 139588 174485 279176 348970 558352 697940 1395880 1849541 2791760 3699082 7398164 9247705 14796328 18495410 29592656 36990820 73981640 147963280