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146141310 = 23572379383
BaseRepresentation
bin10001011010111…
…11000001111110
3101011222202012010
420231133001332
5244403010220
622300152050
73423115650
oct1055370176
9334882163
10146141310
1175547147
1240b38626
132437a763
14155a26d0
15cc6b1e0
hex8b5f07e

146141310 has 128 divisors (see below), whose sum is σ = 424673280. Its totient is φ = 31464576.

The previous prime is 146141297. The next prime is 146141321. The reversal of 146141310 is 13141641.

146141310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1461413102 = 42714564977032200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 381379 + ... + 381761.

It is an arithmetic number, because the mean of its divisors is an integer number (3317760).

Almost surely, 2146141310 is an apocalyptic number.

146141310 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 146141310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212336640).

146141310 is an abundant number, since it is smaller than the sum of its proper divisors (278531970).

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

146141310 is a wasteful number, since it uses less digits than its factorization.

146141310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 146141310 is about 12088.8920087823. The cubic root of 146141310 is about 526.7335709661.

Adding to 146141310 its reverse (13141641), we get a palindrome (159282951).

The spelling of 146141310 in words is "one hundred forty-six million, one hundred forty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 79 105 115 138 158 161 210 230 237 322 345 383 395 474 483 553 690 766 790 805 966 1106 1149 1185 1610 1659 1817 1915 2298 2370 2415 2681 2765 3318 3634 3830 4830 5362 5451 5530 5745 8043 8295 8809 9085 10902 11490 12719 13405 16086 16590 17618 18170 25438 26427 26810 27255 30257 38157 40215 44045 52854 54510 60514 61663 63595 76314 80430 88090 90771 123326 127190 132135 151285 181542 184989 190785 211799 264270 302570 308315 369978 381570 423598 453855 616630 635397 695911 907710 924945 1058995 1270794 1391822 1849890 2087733 2117990 3176985 3479555 4175466 4871377 6353970 6959110 9742754 10438665 14614131 20877330 24356885 29228262 48713770 73070655 146141310