Search a number
-
+
144747240 = 233511532069
BaseRepresentation
bin10001010000010…
…10101011101000
3101002100220212220
420220022223220
5244023402430
622210234040
73405221421
oct1050125350
9332326786
10144747240
1174784820
1240585920
1323cb0071
141531c648
15ca93110
hex8a0aae8

144747240 has 128 divisors (see below), whose sum is σ = 482889600. Its totient is φ = 34411520.

The previous prime is 144747221. The next prime is 144747259. The reversal of 144747240 is 42747441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144747221) and next prime (144747259).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68926 + ... + 70994.

It is an arithmetic number, because the mean of its divisors is an integer number (3772575).

Almost surely, 2144747240 is an apocalyptic number.

144747240 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 144747240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241444800).

144747240 is an abundant number, since it is smaller than the sum of its proper divisors (338142360).

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

144747240 is a wasteful number, since it uses less digits than its factorization.

144747240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 33.

The square root of 144747240 is about 12031.0947132836. The cubic root of 144747240 is about 525.0533460532.

The spelling of 144747240 in words is "one hundred forty-four million, seven hundred forty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 53 55 60 66 88 106 110 120 132 159 165 212 220 264 265 318 330 424 440 530 583 636 660 795 1060 1166 1272 1320 1590 1749 2069 2120 2332 2915 3180 3498 4138 4664 5830 6207 6360 6996 8276 8745 10345 11660 12414 13992 16552 17490 20690 22759 23320 24828 31035 34980 41380 45518 49656 62070 68277 69960 82760 91036 109657 113795 124140 136554 182072 219314 227590 248280 273108 328971 341385 438628 455180 546216 548285 657942 682770 877256 910360 1096570 1206227 1315884 1365540 1644855 2193140 2412454 2631768 2731080 3289710 3618681 4386280 4824908 6031135 6579420 7237362 9649816 12062270 13158840 14474724 18093405 24124540 28949448 36186810 48249080 72373620 144747240