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146481660 = 2232513591061
BaseRepresentation
bin10001011101100…
…10000111111100
3101012122001001200
420232302013330
5244444403120
622311335500
73426034143
oct1056620774
9335561050
10146481660
1175759926
1241081590
1324469650
141565075a
15ccd6e90
hex8bb21fc

146481660 has 144 divisors (see below), whose sum is σ = 487075680. Its totient is φ = 35412480.

The previous prime is 146481589. The next prime is 146481667. The reversal of 146481660 is 66184641.

146481660 is a `hidden beast` number, since 1 + 4 + 648 + 1 + 6 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146481667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137530 + ... + 138590.

It is an arithmetic number, because the mean of its divisors is an integer number (3382470).

Almost surely, 2146481660 is an apocalyptic number.

146481660 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 146481660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243537840).

146481660 is an abundant number, since it is smaller than the sum of its proper divisors (340594020).

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

146481660 is a wasteful number, since it uses less digits than its factorization.

146481660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 146481660 is about 12102.9607947808. The cubic root of 146481660 is about 527.1421590188.

The spelling of 146481660 in words is "one hundred forty-six million, four hundred eighty-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 59 60 65 78 90 117 118 130 156 177 180 195 234 236 260 295 354 390 468 531 585 590 708 767 780 885 1061 1062 1170 1180 1534 1770 2122 2124 2301 2340 2655 3068 3183 3540 3835 4244 4602 5305 5310 6366 6903 7670 9204 9549 10610 10620 11505 12732 13793 13806 15340 15915 19098 21220 23010 27586 27612 31830 34515 38196 41379 46020 47745 55172 62599 63660 68965 69030 82758 95490 124137 125198 137930 138060 165516 187797 190980 206895 248274 250396 275860 312995 375594 413790 496548 563391 620685 625990 751188 813787 827580 938985 1126782 1241370 1251980 1627574 1877970 2253564 2441361 2482740 2816955 3255148 3755940 4068935 4882722 5633910 7324083 8137870 9765444 11267820 12206805 14648166 16275740 24413610 29296332 36620415 48827220 73240830 146481660