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146423970 = 23357117043
BaseRepresentation
bin10001011101001…
…00000010100010
3101012112002221000
420232210002202
5244441031340
622310212430
73425404020
oct1056440242
9335462830
10146423970
117571a550
1241054116
1324449304
1415637710
15ccc4d30
hex8ba40a2

146423970 has 128 divisors (see below), whose sum is σ = 486881280. Its totient is φ = 30421440.

The previous prime is 146423909. The next prime is 146423983. The reversal of 146423970 is 79324641.

146423970 is a `hidden beast` number, since 1 + 4 + 642 + 3 + 9 + 7 + 0 = 666.

It is a Curzon 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, 17269 + ... + 24311.

It is an arithmetic number, because the mean of its divisors is an integer number (3803760).

Almost surely, 2146423970 is an apocalyptic number.

146423970 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 146423970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243440640).

146423970 is an abundant number, since it is smaller than the sum of its proper divisors (340457310).

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

146423970 is a wasteful number, since it uses less digits than its factorization.

146423970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7077 (or 7071 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 146423970 is about 12100.5772589575. The cubic root of 146423970 is about 527.0729471135.

The spelling of 146423970 in words is "one hundred forty-six million, four hundred twenty-three thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 90 99 105 110 126 135 154 165 189 198 210 231 270 297 315 330 378 385 462 495 594 630 693 770 945 990 1155 1386 1485 1890 2079 2310 2970 3465 4158 6930 7043 10395 14086 20790 21129 35215 42258 49301 63387 70430 77473 98602 105645 126774 147903 154946 190161 211290 232419 246505 295806 316935 380322 387365 443709 464838 493010 542311 633870 697257 739515 774730 887418 950805 1084622 1162095 1331127 1394514 1479030 1626933 1901610 2091771 2218545 2324190 2662254 2711555 3253866 3486285 4183542 4437090 4880799 5423110 6655635 6972570 8134665 9761598 10458855 13311270 14642397 16269330 20917710 24403995 29284794 48807990 73211985 146423970