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144070720 = 2654179139
BaseRepresentation
bin10001001011001…
…01100001000000
3101001002112212121
420211211201000
5243340230340
622143534024
73366403153
oct1045454100
9331075777
10144070720
1174362512
12402ba314
1323b04161
14151c3c9a
15c9ac94a
hex8965840

144070720 has 112 divisors (see below), whose sum is σ = 358444800. Its totient is φ = 55111680.

The previous prime is 144070697. The next prime is 144070721. The reversal of 144070720 is 27070441.

It is a super-2 number, since 2×1440707202 = 41512744722636800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144070721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1036411 + ... + 1036549.

It is an arithmetic number, because the mean of its divisors is an integer number (3200400).

Almost surely, 2144070720 is an apocalyptic number.

144070720 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 144070720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179222400).

144070720 is an abundant number, since it is smaller than the sum of its proper divisors (214374080).

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

144070720 is a wasteful number, since it uses less digits than its factorization.

144070720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 25.

The square root of 144070720 is about 12002.9463049703. The cubic root of 144070720 is about 524.2340698135.

The spelling of 144070720 in words is "one hundred forty-four million, seventy thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 79 80 82 139 158 160 164 205 278 316 320 328 395 410 556 632 656 695 790 820 1112 1264 1312 1390 1580 1640 2224 2528 2624 2780 3160 3239 3280 4448 5056 5560 5699 6320 6478 6560 8896 10981 11120 11398 12640 12956 13120 16195 21962 22240 22796 25280 25912 28495 32390 43924 44480 45592 51824 54905 56990 64780 87848 91184 103648 109810 113980 129560 175696 182368 207296 219620 227960 259120 351392 364736 439240 450221 455920 518240 702784 878480 900442 911840 1036480 1756960 1800884 1823680 2251105 3513920 3601768 4502210 7203536 9004420 14407072 18008840 28814144 36017680 72035360 144070720