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145330620 = 223517197499
BaseRepresentation
bin10001010100110…
…01000110111100
3101010110120010120
420222121012330
5244201034440
622230534540
73413201301
oct1052310674
9333416116
10145330620
1175043056
1240807450
1324155766
14154310a8
15cb5add0
hex8a991bc

145330620 has 96 divisors (see below), whose sum is σ = 453600000. Its totient is φ = 34550784.

The previous prime is 145330613. The next prime is 145330649. The reversal of 145330620 is 26033541.

It is a happy number.

It is a super-2 number, since 2×1453306202 = 42241978219168800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15631 + ... + 23129.

It is an arithmetic number, because the mean of its divisors is an integer number (4725000).

Almost surely, 2145330620 is an apocalyptic number.

145330620 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 145330620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226800000).

145330620 is an abundant number, since it is smaller than the sum of its proper divisors (308269380).

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

145330620 is a wasteful number, since it uses less digits than its factorization.

145330620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7547 (or 7545 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 145330620 is about 12055.3150104010. The cubic root of 145330620 is about 525.7577809819.

The spelling of 145330620 in words is "one hundred forty-five million, three hundred thirty thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 30 34 38 51 57 60 68 76 85 95 102 114 170 190 204 228 255 285 323 340 380 510 570 646 969 1020 1140 1292 1615 1938 3230 3876 4845 6460 7499 9690 14998 19380 22497 29996 37495 44994 74990 89988 112485 127483 142481 149980 224970 254966 284962 382449 427443 449940 509932 569924 637415 712405 764898 854886 1274830 1424810 1529796 1709772 1912245 2137215 2422177 2549660 2849620 3824490 4274430 4844354 7266531 7648980 8548860 9688708 12110885 14533062 24221770 29066124 36332655 48443540 72665310 145330620