Search a number
-
+
146446720 = 275797337
BaseRepresentation
bin10001011101010…
…01100110000000
3101012120021010121
420232221212000
5244442243340
622310510024
73425530240
oct1056514600
9335507117
10146446720
1175735652
1241065314
1324456784
1415641b20
15cccb94a
hex8ba9980

146446720 has 128 divisors (see below), whose sum is σ = 405437760. Its totient is φ = 49545216.

The previous prime is 146446693. The next prime is 146446747. The reversal of 146446720 is 27644641.

It is an interprime number because it is at equal distance from previous prime (146446693) and next prime (146446747).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 434392 + ... + 434728.

Almost surely, 2146446720 is an apocalyptic number.

146446720 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 146446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202718880).

146446720 is an abundant number, since it is smaller than the sum of its proper divisors (258991040).

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

146446720 is an equidigital number, since it uses as much as digits as its factorization.

146446720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 146446720 is about 12101.5172602447. The cubic root of 146446720 is about 527.1002429372.

It can be divided in two parts, 1464 and 46720, that added together give a palindrome (48184).

The spelling of 146446720 in words is "one hundred forty-six million, four hundred forty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 97 112 128 140 160 194 224 280 320 337 388 448 485 560 640 674 679 776 896 970 1120 1348 1358 1552 1685 1940 2240 2359 2696 2716 3104 3370 3395 3880 4480 4718 5392 5432 6208 6740 6790 7760 9436 10784 10864 11795 12416 13480 13580 15520 18872 21568 21728 23590 26960 27160 31040 32689 37744 43136 43456 47180 53920 54320 62080 65378 75488 86912 94360 107840 108640 130756 150976 163445 188720 215680 217280 228823 261512 301952 326890 377440 434560 457646 523024 653780 754880 915292 1046048 1144115 1307560 1509760 1830584 2092096 2288230 2615120 3661168 4184192 4576460 5230240 7322336 9152920 10460480 14644672 18305840 20920960 29289344 36611680 73223360 146446720