Search a number
-
+
145324530 = 23451337373
BaseRepresentation
bin10001010100101…
…11100111110010
3101010110020210000
420222113213302
5244200341110
622230450430
73413144451
oct1052274762
9333406700
10145324530
117503951a
1240803a16
1324152a60
141542cb98
15cb591c0
hex8a979f2

145324530 has 160 divisors (see below), whose sum is σ = 433352304. Its totient is φ = 34712064.

The previous prime is 145324519. The next prime is 145324537. The reversal of 145324530 is 35423541.

It can be written as a sum of positive squares in 8 ways, for example, as 70207641 + 75116889 = 8379^2 + 8667^2 .

It is a super-2 number, since 2×1453245302 = 42238438039441800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 145324494 and 145324503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145324537) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 389424 + ... + 389796.

Almost surely, 2145324530 is an apocalyptic number.

145324530 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 145324530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216676152).

145324530 is an abundant number, since it is smaller than the sum of its proper divisors (288027774).

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

145324530 is a wasteful number, since it uses less digits than its factorization.

145324530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 145324530 is about 12055.0624220698. The cubic root of 145324530 is about 525.7504370154.

The spelling of 145324530 in words is "one hundred forty-five million, three hundred twenty-four thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 37 39 45 54 65 74 78 81 90 111 117 130 135 162 185 195 222 234 270 333 351 370 373 390 405 481 555 585 666 702 746 810 962 999 1053 1110 1119 1170 1443 1665 1755 1865 1998 2106 2238 2405 2886 2997 3330 3357 3510 3730 4329 4810 4849 4995 5265 5595 5994 6714 7215 8658 9698 9990 10071 10530 11190 12987 13801 14430 14547 14985 16785 20142 21645 24245 25974 27602 29094 29970 30213 33570 38961 41403 43290 43641 48490 50355 60426 64935 69005 72735 77922 82806 87282 100710 124209 129870 130923 138010 145470 151065 179413 194805 207015 218205 248418 261846 302130 358826 372627 389610 392769 414030 436410 538239 621045 654615 745254 785538 897065 1076478 1117881 1242090 1309230 1614717 1794130 1863135 1963845 2235762 2691195 3229434 3726270 3927690 4844151 5382390 5589405 8073585 9688302 11178810 14532453 16147170 24220755 29064906 48441510 72662265 145324530