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144672660 = 2232511312357
BaseRepresentation
bin10001001111110…
…00011110010100
3101002020010120200
420213320132110
5244014011120
622204500500
73404461116
oct1047703624
9332203520
10144672660
1174733790
124054a730
1323c85132
14152dd3b6
15ca7ae90
hex89f8794

144672660 has 144 divisors (see below), whose sum is σ = 494387712. Its totient is φ = 33926400.

The previous prime is 144672623. The next prime is 144672679. The reversal of 144672660 is 66276441.

144672660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60202 + ... + 62558.

It is an arithmetic number, because the mean of its divisors is an integer number (3433248).

Almost surely, 2144672660 is an apocalyptic number.

144672660 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 144672660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247193856).

144672660 is an abundant number, since it is smaller than the sum of its proper divisors (349715052).

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

144672660 is a wasteful number, since it uses less digits than its factorization.

144672660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 144672660 is about 12027.9948453597. The cubic root of 144672660 is about 524.9631538767.

The spelling of 144672660 in words is "one hundred forty-four million, six hundred seventy-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 31 33 36 44 45 55 60 62 66 90 93 99 110 124 132 155 165 180 186 198 220 279 310 330 341 372 396 465 495 558 620 660 682 930 990 1023 1116 1364 1395 1705 1860 1980 2046 2357 2790 3069 3410 4092 4714 5115 5580 6138 6820 7071 9428 10230 11785 12276 14142 15345 20460 21213 23570 25927 28284 30690 35355 42426 47140 51854 61380 70710 73067 77781 84852 103708 106065 129635 141420 146134 155562 212130 219201 233343 259270 292268 311124 365335 388905 424260 438402 466686 518540 657603 730670 777810 803737 876804 933372 1096005 1166715 1315206 1461340 1555620 1607474 2192010 2333430 2411211 2630412 3214948 3288015 4018685 4384020 4666860 4822422 6576030 7233633 8037370 9644844 12056055 13152060 14467266 16074740 24112110 28934532 36168165 48224220 72336330 144672660