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147027240 = 233251492741
BaseRepresentation
bin10001100001101…
…11010100101000
3101020122202110100
420300313110220
5300114332430
622331145400
73433465563
oct1060672450
9336582410
10147027240
1175aa1818
12412a5260
13245caa89
14157534da
15cd93960
hex8c37528

147027240 has 96 divisors (see below), whose sum is σ = 481221000. Its totient is φ = 38929920.

The previous prime is 147027239. The next prime is 147027259. The reversal of 147027240 is 42720741.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 73307844 + 73719396 = 8562^2 + 8586^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52270 + ... + 55010.

Almost surely, 2147027240 is an apocalyptic number.

147027240 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 147027240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240610500).

147027240 is an abundant number, since it is smaller than the sum of its proper divisors (334193760).

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

147027240 is a wasteful number, since it uses less digits than its factorization.

147027240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2907 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 147027240 is about 12125.4789596123. The cubic root of 147027240 is about 527.7958060283.

Adding to 147027240 its reverse (42720741), we get a palindrome (189747981).

The spelling of 147027240 in words is "one hundred forty-seven million, twenty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 149 180 298 360 447 596 745 894 1192 1341 1490 1788 2235 2682 2741 2980 3576 4470 5364 5482 5960 6705 8223 8940 10728 10964 13410 13705 16446 17880 21928 24669 26820 27410 32892 41115 49338 53640 54820 65784 82230 98676 109640 123345 164460 197352 246690 328920 408409 493380 816818 986760 1225227 1633636 2042045 2450454 3267272 3675681 4084090 4900908 6126135 7351362 8168180 9801816 12252270 14702724 16336360 18378405 24504540 29405448 36756810 49009080 73513620 147027240