Search a number
-
+
445399680 = 27351121089
BaseRepresentation
bin11010100011000…
…100001010000000
31011001002122111110
4122203010022000
51403010242210
6112110243320
714015556225
oct3243041200
91131078443
10445399680
11209464410
121051b6540
1371378b0b
144322194c
1529180420
hex1a8c4280

445399680 has 128 divisors (see below), whose sum is σ = 1548849600. Its totient is φ = 107970560.

The previous prime is 445399679. The next prime is 445399697. The reversal of 445399680 is 86993544.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10576 + ... + 31664.

Almost surely, 2445399680 is an apocalyptic number.

445399680 is a gapful number since it is divisible by the number (40) 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 445399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774424800).

445399680 is an abundant number, since it is smaller than the sum of its proper divisors (1103449920).

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

445399680 is a wasteful number, since it uses less digits than its factorization.

445399680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21122 (or 21110 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 445399680 is about 21104.4943080852. The cubic root of 445399680 is about 763.6891730125.

The spelling of 445399680 in words is "four hundred forty-five million, three hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21089 21120 42178 63267 84356 105445 126534 168712 210890 231979 253068 316335 337424 421780 463958 506136 632670 674848 695937 843560 927916 1012272 1159895 1265340 1349696 1391874 1687120 1855832 2024544 2319790 2530680 2699392 2783748 3374240 3479685 3711664 4049088 4639580 5061360 5567496 6748480 6959370 7423328 8098176 9279160 10122720 11134992 13496960 13918740 14846656 18558320 20245440 22269984 27837480 29693312 37116640 40490880 44539968 55674960 74233280 89079936 111349920 148466560 222699840 445399680