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146645730 = 232572113023
BaseRepresentation
bin10001011110110…
…10001011100010
3101012221101010100
420233122023202
5300020130410
622315043230
73430316400
oct1057321342
9335841110
10146645730
1175861120
1241140516
13244c622a
1415694470
15cd1a8c0
hex8bda2e2

146645730 has 144 divisors (see below), whose sum is σ = 484009344. Its totient is φ = 30461760.

The previous prime is 146645729. The next prime is 146645767. The reversal of 146645730 is 37546641.

It is a happy number.

146645730 is a `hidden beast` number, since 1 + 4 + 6 + 645 + 7 + 3 + 0 = 666.

146645730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46999 + ... + 50021.

It is an arithmetic number, because the mean of its divisors is an integer number (3361176).

Almost surely, 2146645730 is an apocalyptic number.

146645730 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 146645730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242004672).

146645730 is an abundant number, since it is smaller than the sum of its proper divisors (337363614).

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

146645730 is a wasteful number, since it uses less digits than its factorization.

146645730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 146645730 is about 12109.7369913636. The cubic root of 146645730 is about 527.3388979669.

The spelling of 146645730 in words is "one hundred forty-six million, six hundred forty-five thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 49 55 63 66 70 77 90 98 99 105 110 126 147 154 165 198 210 231 245 294 315 330 385 441 462 490 495 539 630 693 735 770 882 990 1078 1155 1386 1470 1617 2205 2310 2695 3023 3234 3465 4410 4851 5390 6046 6930 8085 9069 9702 15115 16170 18138 21161 24255 27207 30230 33253 42322 45345 48510 54414 63483 66506 90690 99759 105805 126966 136035 148127 166265 190449 199518 211610 232771 272070 296254 299277 317415 332530 380898 444381 465542 498795 598554 634830 698313 740635 888762 952245 997590 1163855 1333143 1396626 1481270 1496385 1629397 1904490 2094939 2221905 2327710 2666286 2992770 3258794 3491565 4189878 4443810 4888191 6665715 6983130 8146985 9776382 10474695 13331430 14664573 16293970 20949390 24440955 29329146 48881910 73322865 146645730