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144269660 = 225193137331
BaseRepresentation
bin10001001100101…
…10000101011100
3101001110122202202
420212112011130
5243413112120
622152111032
73401162153
oct1046260534
9331418682
10144269660
1174488a27
1240395478
1323b73882
141523659a
15c9eb875
hex899615c

144269660 has 96 divisors (see below), whose sum is σ = 339118080. Its totient is φ = 51321600.

The previous prime is 144269651. The next prime is 144269669. The reversal of 144269660 is 66962441.

It is a happy number.

144269660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144269651) and next prime (144269669).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144269669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435695 + ... + 436025.

It is an arithmetic number, because the mean of its divisors is an integer number (3532480).

Almost surely, 2144269660 is an apocalyptic number.

144269660 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 144269660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169559040).

144269660 is an abundant number, since it is smaller than the sum of its proper divisors (194848420).

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

144269660 is a wasteful number, since it uses less digits than its factorization.

144269660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 144269660 is about 12011.2305780882. The cubic root of 144269660 is about 524.4752549741.

The spelling of 144269660 in words is "one hundred forty-four million, two hundred sixty-nine thousand, six hundred sixty".

Divisors: 1 2 4 5 10 19 20 31 37 38 62 74 76 95 124 148 155 185 190 310 331 370 380 589 620 662 703 740 1147 1178 1324 1406 1655 2294 2356 2812 2945 3310 3515 4588 5735 5890 6289 6620 7030 10261 11470 11780 12247 12578 14060 20522 21793 22940 24494 25156 31445 41044 43586 48988 51305 61235 62890 87172 102610 108965 122470 125780 194959 205220 217930 232693 244940 379657 389918 435860 465386 759314 779836 930772 974795 1163465 1518628 1898285 1949590 2326930 3796570 3899180 4653860 7213483 7593140 14426966 28853932 36067415 72134830 144269660