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144739020 = 223517413461
BaseRepresentation
bin10001010000010…
…00101011001100
3101002100111121110
420220020223030
5244023122040
622210132020
73405155436
oct1050105314
9332314543
10144739020
1174779628
1240581010
1323ca93ba
1415319656
15ca90980
hex8a08acc

144739020 has 96 divisors (see below), whose sum is σ = 439701696. Its totient is φ = 35430400.

The previous prime is 144739019. The next prime is 144739033. The reversal of 144739020 is 20937441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40090 + ... + 43550.

It is an arithmetic number, because the mean of its divisors is an integer number (4580226).

Almost surely, 2144739020 is an apocalyptic number.

144739020 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 144739020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219850848).

144739020 is an abundant number, since it is smaller than the sum of its proper divisors (294962676).

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

144739020 is a wasteful number, since it uses less digits than its factorization.

144739020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3531 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 144739020 is about 12030.7530936347. The cubic root of 144739020 is about 525.0434068419.

The spelling of 144739020 in words is "one hundred forty-four million, seven hundred thirty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 41 51 60 68 82 85 102 123 164 170 204 205 246 255 340 410 492 510 615 697 820 1020 1230 1394 2091 2460 2788 3461 3485 4182 6922 6970 8364 10383 10455 13844 13940 17305 20766 20910 34610 41532 41820 51915 58837 69220 103830 117674 141901 176511 207660 235348 283802 294185 353022 425703 567604 588370 706044 709505 851406 882555 1176740 1419010 1702812 1765110 2128515 2412317 2838020 3530220 4257030 4824634 7236951 8514060 9649268 12061585 14473902 24123170 28947804 36184755 48246340 72369510 144739020