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144929620 = 22511837937
BaseRepresentation
bin10001010001101…
…11001101010100
3101002201012001201
420220313031110
5244100221440
622214202244
73406611223
oct1050671524
9332635051
10144929620
1174899850
1240653384
1324045094
1415368cba
15cacc19a
hex8a37354

144929620 has 48 divisors (see below), whose sum is σ = 336063168. Its totient is φ = 52060160.

The previous prime is 144929527. The next prime is 144929627. The reversal of 144929620 is 26929441.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 144929620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144929627) 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 15 ways as a sum of consecutive naturals, for example, 14292 + ... + 22228.

It is an arithmetic number, because the mean of its divisors is an integer number (7001316).

Almost surely, 2144929620 is an apocalyptic number.

144929620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144929620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168031584).

144929620 is an abundant number, since it is smaller than the sum of its proper divisors (191133548).

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

144929620 is a wasteful number, since it uses less digits than its factorization.

144929620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8040 (or 8038 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 144929620 is about 12038.6718536556. The cubic root of 144929620 is about 525.2737740646.

The spelling of 144929620 in words is "one hundred forty-four million, nine hundred twenty-nine thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 166 220 332 415 830 913 1660 1826 3652 4565 7937 9130 15874 18260 31748 39685 79370 87307 158740 174614 349228 436535 658771 873070 1317542 1746140 2635084 3293855 6587710 7246481 13175420 14492962 28985924 36232405 72464810 144929620