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145024620 = 2235131710937
BaseRepresentation
bin10001010010011…
…10011001101100
3101002220000101020
420221032121230
5244111241440
622220214140
73410455206
oct1051163154
9332800336
10145024620
1174954164
124069a350
13240793b0
1415391776
15caea3d0
hex8a4e66c

145024620 has 96 divisors (see below), whose sum is σ = 463071168. Its totient is φ = 33595392.

The previous prime is 145024619. The next prime is 145024661. The reversal of 145024620 is 26420541.

It is a super-2 number, since 2×1450246202 = 42064280812288800, which contains 22 as substring.

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, 7792 + ... + 18728.

It is an arithmetic number, because the mean of its divisors is an integer number (4823658).

Almost surely, 2145024620 is an apocalyptic number.

145024620 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 145024620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231535584).

145024620 is an abundant number, since it is smaller than the sum of its proper divisors (318046548).

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

145024620 is a wasteful number, since it uses less digits than its factorization.

145024620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10979 (or 10977 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 145024620 is about 12042.6168252585. The cubic root of 145024620 is about 525.3885196662.

The spelling of 145024620 in words is "one hundred forty-five million, twenty-four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 1020 1105 1326 2210 2652 3315 4420 6630 10937 13260 21874 32811 43748 54685 65622 109370 131244 142181 164055 185929 218740 284362 328110 371858 426543 557787 568724 656220 710905 743716 853086 929645 1115574 1421810 1706172 1859290 2132715 2231148 2417077 2788935 2843620 3718580 4265430 4834154 5577870 7251231 8530860 9668308 11155740 12085385 14502462 24170770 29004924 36256155 48341540 72512310 145024620