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146145930 = 23572372687
BaseRepresentation
bin10001011011000…
…00001010001010
3101011222222112020
420231200022022
5244403132210
622300225310
73423135300
oct1055401212
9334888466
10146145930
117554a667
1240b3b236
132437c8a8
14155a4270
15cc6c770
hex8b6028a

146145930 has 96 divisors (see below), whose sum is σ = 419198976. Its totient is φ = 32489856.

The previous prime is 146145919. The next prime is 146145941. The reversal of 146145930 is 39541641.

It is an interprime number because it is at equal distance from previous prime (146145919) and next prime (146145941).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 146145891 and 146145900.

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, 53047 + ... + 55733.

It is an arithmetic number, because the mean of its divisors is an integer number (4366656).

Almost surely, 2146145930 is an apocalyptic number.

146145930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146145930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209599488).

146145930 is an abundant number, since it is smaller than the sum of its proper divisors (273053046).

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

146145930 is a wasteful number, since it uses less digits than its factorization.

146145930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 146145930 is about 12089.0830917816. The cubic root of 146145930 is about 526.7391214922.

The spelling of 146145930 in words is "one hundred forty-six million, one hundred forty-five thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 49 70 74 98 105 111 147 185 210 222 245 259 294 370 490 518 555 735 777 1110 1295 1470 1554 1813 2590 2687 3626 3885 5374 5439 7770 8061 9065 10878 13435 16122 18130 18809 26870 27195 37618 40305 54390 56427 80610 94045 99419 112854 131663 188090 198838 263326 282135 298257 394989 497095 564270 596514 658315 695933 789978 994190 1316630 1391866 1491285 1974945 2087799 2982570 3479665 3949890 4175598 4871531 6959330 9743062 10438995 14614593 20877990 24357655 29229186 48715310 73072965 146145930