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145539420 = 223513231463
BaseRepresentation
bin10001010110011…
…00000101011100
3101010212011112220
420223030011130
5244224230140
622235225340
73415031115
oct1053140534
9333764486
10145539420
1175175a14
12408a8250
13241c9800
141548720c
15cb9cbd0
hex8acc15c

145539420 has 144 divisors (see below), whose sum is σ = 456486912. Its totient is φ = 34594560.

The previous prime is 145539413. The next prime is 145539439. The reversal of 145539420 is 24935541.

It is a congruent number.

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, 314109 + ... + 314571.

It is an arithmetic number, because the mean of its divisors is an integer number (3170048).

Almost surely, 2145539420 is an apocalyptic number.

145539420 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 145539420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228243456).

145539420 is an abundant number, since it is smaller than the sum of its proper divisors (310947492).

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

145539420 is a wasteful number, since it uses less digits than its factorization.

145539420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 145539420 is about 12063.9719827261. The cubic root of 145539420 is about 526.0094501138.

The spelling of 145539420 in words is "one hundred forty-five million, five hundred thirty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 169 186 195 260 310 338 372 390 403 463 465 507 620 676 780 806 845 926 930 1014 1209 1389 1612 1690 1852 1860 2015 2028 2315 2418 2535 2778 3380 4030 4630 4836 5070 5239 5556 6019 6045 6945 8060 9260 10140 10478 12038 12090 13890 14353 15717 18057 20956 24076 24180 26195 27780 28706 30095 31434 36114 43059 52390 57412 60190 62868 71765 72228 78247 78585 86118 90285 104780 120380 143530 156494 157170 172236 180570 186589 215295 234741 287060 312988 314340 361140 373178 391235 430590 469482 559767 746356 782470 861180 932945 938964 1119534 1173705 1564940 1865890 2239068 2347410 2425657 2798835 3731780 4694820 4851314 5597670 7276971 9702628 11195340 12128285 14553942 24256570 29107884 36384855 48513140 72769710 145539420