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147997410 = 2351117233137
BaseRepresentation
bin10001101001001…
…00001011100010
3101022111001021120
420310210023202
5300341404120
622404033110
73444646221
oct1064441342
9338431246
10147997410
11765a4710
1241692796
132487a542
1415926cb8
15ced6140
hex8d242e2

147997410 has 256 divisors, whose sum is σ = 453869568. Its totient is φ = 30412800.

The previous prime is 147997363. The next prime is 147997453. The reversal of 147997410 is 14799741.

147997410 is a nontrivial binomial coefficient, being equal to C(17205, 2).

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 127 ways as a sum of consecutive naturals, for example, 3999912 + ... + 3999948.

It is an arithmetic number, because the mean of its divisors is an integer number (1772928).

Almost surely, 2147997410 is an apocalyptic number.

147997410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

147997410 is the 17204-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147997410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226934784).

147997410 is an abundant number, since it is smaller than the sum of its proper divisors (305872158).

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

147997410 is a wasteful number, since it uses less digits than its factorization.

147997410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129.

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 147997410 is about 12165.4186117864. The cubic root of 147997410 is about 528.9541616675.

It can be divided in two parts, 1479 and 97410, that added together give a palindrome (98889).

The spelling of 147997410 in words is "one hundred forty-seven million, nine hundred ninety-seven thousand, four hundred ten".