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144672696 = 23337213669
BaseRepresentation
bin10001001111110…
…00011110111000
3101002020010122000
420213320132320
5244014011241
622204501000
73404461200
oct1047703670
9332203560
10144672696
1174733813
124054a760
1323c8515c
14152dd400
15ca7aeb6
hex89f87b8

144672696 has 96 divisors (see below), whose sum is σ = 467514000. Its totient is φ = 41332032.

The previous prime is 144672679. The next prime is 144672719. The reversal of 144672696 is 696276441.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3750 + ... + 17418.

Almost surely, 2144672696 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 144672696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233757000).

144672696 is an abundant number, since it is smaller than the sum of its proper divisors (322841304).

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

144672696 is a wasteful number, since it uses less digits than its factorization.

144672696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13698 (or 13681 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 144672696 is about 12027.9963418684. The cubic root of 144672696 is about 524.9631974202.

The spelling of 144672696 in words is "one hundred forty-four million, six hundred seventy-two thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 3528 5292 10584 13669 27338 41007 54676 82014 95683 109352 123021 164028 191366 246042 287049 328056 369063 382732 492084 574098 669781 738126 765464 861147 984168 1148196 1339562 1476252 1722294 2009343 2296392 2583441 2679124 2952504 3444588 4018686 5166882 5358248 6028029 6889176 8037372 10333764 12056058 16074744 18084087 20667528 24112116 36168174 48224232 72336348 144672696