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145130020 = 2257173211
BaseRepresentation
bin10001010011010…
…00001000100100
3101010002100221221
420221220020210
5244123130040
622222350124
73411404410
oct1051501044
9333070857
10145130020
1174a16372
124072b344
13240b5369
14153bbd40
15cb1b74a
hex8a68224

145130020 has 96 divisors (see below), whose sum is σ = 371831040. Its totient is φ = 46609920.

The previous prime is 145129997. The next prime is 145130047. The reversal of 145130020 is 20031541.

It is a junction number, because it is equal to n+sod(n) for n = 145129976 and 145130003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687715 + ... + 687925.

It is an arithmetic number, because the mean of its divisors is an integer number (3873240).

Almost surely, 2145130020 is an apocalyptic number.

145130020 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 145130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185915520).

145130020 is an abundant number, since it is smaller than the sum of its proper divisors (226701020).

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

145130020 is a wasteful number, since it uses less digits than its factorization.

145130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 145130020 is about 12046.9921557209. The cubic root of 145130020 is about 525.5157682675.

Adding to 145130020 its reverse (20031541), we get a palindrome (165161561).

The spelling of 145130020 in words is "one hundred forty-five million, one hundred thirty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 211 238 289 340 422 476 578 595 844 1055 1156 1190 1445 1477 2023 2110 2380 2890 2954 3587 4046 4220 4913 5780 5908 7174 7385 8092 9826 10115 14348 14770 17935 19652 20230 24565 25109 29540 34391 35870 40460 49130 50218 60979 68782 71740 98260 100436 121958 125545 137564 171955 243916 251090 304895 343910 426853 502180 609790 687820 853706 1036643 1219580 1707412 2073286 2134265 4146572 4268530 5183215 7256501 8537060 10366430 14513002 20732860 29026004 36282505 72565010 145130020