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144307072 = 277132953
BaseRepresentation
bin10001001100111…
…11001110000000
3101001112120002101
420212133032000
5243420311242
622153000144
73401406220
oct1046371600
9331476071
10144307072
1174504048
12403b3054
1323b87900
1415246080
15ca079b7
hex899f380

144307072 has 96 divisors (see below), whose sum is σ = 356147280. Its totient is φ = 57028608.

The previous prime is 144307069. The next prime is 144307073. The reversal of 144307072 is 270703441.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 144307072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144307073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150948 + ... + 151900.

Almost surely, 2144307072 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 144307072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178073640).

144307072 is an abundant number, since it is smaller than the sum of its proper divisors (211840208).

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

144307072 is an equidigital number, since it uses as much as digits as its factorization.

144307072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 144307072 is about 12012.7878529507. The cubic root of 144307072 is about 524.5205866869.

The spelling of 144307072 in words is "one hundred forty-four million, three hundred seven thousand, seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 169 182 208 224 338 364 416 448 676 728 832 896 953 1183 1352 1456 1664 1906 2366 2704 2912 3812 4732 5408 5824 6671 7624 9464 10816 11648 12389 13342 15248 18928 21632 24778 26684 30496 37856 49556 53368 60992 75712 86723 99112 106736 121984 151424 161057 173446 198224 213472 322114 346892 396448 426944 644228 693784 792896 853888 1127399 1288456 1387568 1585792 2254798 2576912 2775136 4509596 5153824 5550272 9019192 10307648 11100544 18038384 20615296 36076768 72153536 144307072