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144707840 = 285131863
BaseRepresentation
bin10001010000000…
…01000100000000
3101002021220211122
420220001010000
5244021122330
622205331412
73404665514
oct1050010400
9332256748
10144707840
1174758162
1240566b68
1323c98154
141530c144
15ca865e5
hex8a01100

144707840 has 72 divisors (see below), whose sum is σ = 349671168. Its totient is φ = 57374720.

The previous prime is 144707837. The next prime is 144707863. The reversal of 144707840 is 48707441.

It is a self number, because there is not a number n which added to its sum of digits gives 144707840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167249 + ... + 168111.

It is an arithmetic number, because the mean of its divisors is an integer number (4856544).

Almost surely, 2144707840 is an apocalyptic number.

144707840 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 144707840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174835584).

144707840 is an abundant number, since it is smaller than the sum of its proper divisors (204963328).

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

144707840 is an equidigital number, since it uses as much as digits as its factorization.

144707840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 35.

The square root of 144707840 is about 12029.4571781107. The cubic root of 144707840 is about 525.0057021301.

The spelling of 144707840 in words is "one hundred forty-four million, seven hundred seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 131 160 256 262 320 524 640 655 863 1048 1280 1310 1726 2096 2620 3452 4192 4315 5240 6904 8384 8630 10480 13808 16768 17260 20960 27616 33536 34520 41920 55232 69040 83840 110464 113053 138080 167680 220928 226106 276160 452212 552320 565265 904424 1104640 1130530 1808848 2261060 3617696 4522120 7235392 9044240 14470784 18088480 28941568 36176960 72353920 144707840