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146489420 = 2257211107127
BaseRepresentation
bin10001011101101…
…00000001001100
3101012122102201002
420232310001030
5300000130140
622311435432
73426065600
oct1056640114
9335572632
10146489420
1175764740
1241085b78
132447003c
1415653500
15ccd9415
hex8bb404c

146489420 has 144 divisors (see below), whose sum is σ = 397135872. Its totient is φ = 44876160.

The previous prime is 146489419. The next prime is 146489423. The reversal of 146489420 is 24984641.

146489420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (146489423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1153397 + ... + 1153523.

It is an arithmetic number, because the mean of its divisors is an integer number (2757888).

Almost surely, 2146489420 is an apocalyptic number.

146489420 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 146489420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198567936).

146489420 is an abundant number, since it is smaller than the sum of its proper divisors (250646452).

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

146489420 is a wasteful number, since it uses less digits than its factorization.

146489420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 146489420 is about 12103.2813732475. The cubic root of 146489420 is about 527.1514674672.

The spelling of 146489420 in words is "one hundred forty-six million, four hundred eighty-nine thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 107 110 127 140 154 196 214 220 245 254 308 385 428 490 508 535 539 635 749 770 889 980 1070 1078 1177 1270 1397 1498 1540 1778 2140 2156 2354 2540 2695 2794 2996 3556 3745 4445 4708 5243 5390 5588 5885 6223 6985 7490 8239 8890 9779 10486 10780 11770 12446 13589 13970 14980 16478 17780 19558 20972 23540 24892 26215 27178 27940 31115 32956 39116 41195 48895 52430 54356 57673 62230 67945 68453 82390 95123 97790 104860 115346 124460 135890 136906 149479 164780 190246 195580 230692 271780 273812 288365 298958 342265 380492 475615 576730 597916 665861 684530 747395 951230 1046353 1153460 1331722 1369060 1494790 1902460 2092706 2663444 2989580 3329305 4185412 5231765 6658610 7324471 10463530 13317220 14648942 20927060 29297884 36622355 73244710 146489420