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144893970 = 232513592099
BaseRepresentation
bin10001010001011…
…10100000010010
3101002122101011100
420220232200102
5244043101340
622213325230
73406402254
oct1050564022
9332571140
10144893970
1174874a91
1240636816
1324031aa0
1415359cd4
15cac1830
hex8a2e812

144893970 has 96 divisors (see below), whose sum is σ = 412776000. Its totient is φ = 35044992.

The previous prime is 144893963. The next prime is 144893993. The reversal of 144893970 is 79398441.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 67981 + ... + 70079.

It is an arithmetic number, because the mean of its divisors is an integer number (4299750).

Almost surely, 2144893970 is an apocalyptic number.

144893970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144893970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206388000).

144893970 is an abundant number, since it is smaller than the sum of its proper divisors (267882030).

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

144893970 is a wasteful number, since it uses less digits than its factorization.

144893970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 144893970 is about 12037.1911175324. The cubic root of 144893970 is about 525.2307013289.

It can be divided in two parts, 14 and 4893970, that added together give a palindrome (4893984).

The spelling of 144893970 in words is "one hundred forty-four million, eight hundred ninety-three thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 59 65 78 90 117 118 130 177 195 234 295 354 390 531 585 590 767 885 1062 1170 1534 1770 2099 2301 2655 3835 4198 4602 5310 6297 6903 7670 10495 11505 12594 13806 18891 20990 23010 27287 31485 34515 37782 54574 62970 69030 81861 94455 123841 136435 163722 188910 245583 247682 272870 371523 409305 491166 619205 743046 818610 1114569 1227915 1238410 1609933 1857615 2229138 2455830 3219866 3715230 4829799 5572845 8049665 9659598 11145690 14489397 16099330 24148995 28978794 48297990 72446985 144893970