Search a number
-
+
144726672 = 24323337389
BaseRepresentation
bin10001010000001…
…01101010010000
3101002022212200010
420220011222100
5244022223142
622205554520
73405104436
oct1050055220
9332285603
10144726672
1174770322
1240575a40
1323ca38ac
1415314d56
15ca8be9c
hex8a05a90

144726672 has 80 divisors (see below), whose sum is σ = 392296320. Its totient is φ = 45889536.

The previous prime is 144726653. The next prime is 144726707. The reversal of 144726672 is 276627441.

It is a self number, because there is not a number n which added to its sum of digits gives 144726672.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371854 + ... + 372242.

It is an arithmetic number, because the mean of its divisors is an integer number (4903704).

Almost surely, 2144726672 is an apocalyptic number.

144726672 is a gapful number since it is divisible by the number (12) 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 144726672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196148160).

144726672 is an abundant number, since it is smaller than the sum of its proper divisors (247569648).

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

144726672 is a wasteful number, since it uses less digits than its factorization.

144726672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 754 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 144726672 is about 12030.2398978574. The cubic root of 144726672 is about 525.0284755530.

The spelling of 144726672 in words is "one hundred forty-four million, seven hundred twenty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 337 368 389 552 674 778 1011 1104 1167 1348 1556 2022 2334 2696 3112 4044 4668 5392 6224 7751 8088 8947 9336 15502 16176 17894 18672 23253 26841 31004 35788 46506 53682 62008 71576 93012 107364 124016 131093 143152 186024 214728 262186 372048 393279 429456 524372 786558 1048744 1573116 2097488 3015139 3146232 6030278 6292464 9045417 12060556 18090834 24121112 36181668 48242224 72363336 144726672