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153930153 = 31319434831
BaseRepresentation
bin10010010110011…
…00100110101001
3101201122110110210
421023030212221
5303401231103
623135131333
73546245646
oct1113144651
9351573423
10153930153
1179987003
1243673b49
1325b76a40
141662cdcd
15d7a8e03
hex92cc9a9

153930153 has 32 divisors (see below), whose sum is σ = 238120960. Its totient is φ = 87635520.

The previous prime is 153930151. The next prime is 153930199. The reversal of 153930153 is 351039351.

It is not a de Polignac number, because 153930153 - 21 = 153930151 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 153930153.

It is not an unprimeable number, because it can be changed into a prime (153930151) 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 31 ways as a sum of consecutive naturals, for example, 29448 + ... + 34278.

It is an arithmetic number, because the mean of its divisors is an integer number (7441280).

Almost surely, 2153930153 is an apocalyptic number.

153930153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

153930153 is a deficient number, since it is larger than the sum of its proper divisors (84190807).

153930153 is a wasteful number, since it uses less digits than its factorization.

153930153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4909.

The product of its (nonzero) digits is 6075, while the sum is 30.

The square root of 153930153 is about 12406.8591109918. The cubic root of 153930153 is about 535.9297925883.

The spelling of 153930153 in words is "one hundred fifty-three million, nine hundred thirty thousand, one hundred fifty-three".

Divisors: 1 3 13 19 39 43 57 129 247 559 741 817 1677 2451 4831 10621 14493 31863 62803 91789 188409 207733 275367 623199 1193257 2700529 3579771 3946927 8101587 11840781 51310051 153930153