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144769072 = 2471578233
BaseRepresentation
bin10001010000100…
…00000000110000
3101002102000211111
420220100000300
5244030102242
622210523104
73405342160
oct1050200060
9332360744
10144769072
117479a168
1240596494
1323cb9c96
14153265a0
15ca99817
hex8a10030

144769072 has 40 divisors (see below), whose sum is σ = 322641056. Its totient is φ = 61641216.

The previous prime is 144769069. The next prime is 144769081. The reversal of 144769072 is 270967441.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13468 + ... + 21700.

Almost surely, 2144769072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144769072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161320528).

144769072 is an abundant number, since it is smaller than the sum of its proper divisors (177871984).

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

144769072 is a wasteful number, since it uses less digits than its factorization.

144769072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8405 (or 8399 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 144769072 is about 12032.0019946807. The cubic root of 144769072 is about 525.0797423847.

The spelling of 144769072 in words is "one hundred forty-four million, seven hundred sixty-nine thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 157 314 628 1099 1256 2198 2512 4396 8233 8792 16466 17584 32932 57631 65864 115262 131728 230524 461048 922096 1292581 2585162 5170324 9048067 10340648 18096134 20681296 36192268 72384536 144769072