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145861860 = 223519235563
BaseRepresentation
bin10001011000110…
…10110011100100
3101011110112212010
420230122303210
5244320034420
622250154220
73420543144
oct1054326344
9334415763
10145861860
11753761a1
1240a22970
13242b04c1
141552c924
15cc134e0
hex8b1ace4

145861860 has 96 divisors (see below), whose sum is σ = 448680960. Its totient is φ = 35240832.

The previous prime is 145861831. The next prime is 145861867. The reversal of 145861860 is 68168541.

It is not an unprimeable number, because it can be changed into a prime (145861867) by changing a digit.

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, 23439 + ... + 29001.

It is an arithmetic number, because the mean of its divisors is an integer number (4673760).

Almost surely, 2145861860 is an apocalyptic number.

145861860 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 145861860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224340480).

145861860 is an abundant number, since it is smaller than the sum of its proper divisors (302819100).

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

145861860 is a wasteful number, since it uses less digits than its factorization.

145861860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5617 (or 5615 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 145861860 is about 12077.3283469483. The cubic root of 145861860 is about 526.3976184594.

The spelling of 145861860 in words is "one hundred forty-five million, eight hundred sixty-one thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 23 30 38 46 57 60 69 76 92 95 114 115 138 190 228 230 276 285 345 380 437 460 570 690 874 1140 1311 1380 1748 2185 2622 4370 5244 5563 6555 8740 11126 13110 16689 22252 26220 27815 33378 55630 66756 83445 105697 111260 127949 166890 211394 255898 317091 333780 383847 422788 511796 528485 634182 639745 767694 1056970 1268364 1279490 1535388 1585455 1919235 2113940 2431031 2558980 3170910 3838470 4862062 6341820 7293093 7676940 9724124 12155155 14586186 24310310 29172372 36465465 48620620 72930930 145861860