Search a number
-
+
375845680 = 2457313697
BaseRepresentation
bin10110011001101…
…111001100110000
3222012012221100101
4112121233030300
51232204030210
6101143402144
712212431000
oct2631571460
9865187311
10375845680
11183178471
12a5a53354
135cb352c2
1437cb8000
1522ee1a3a
hex1666f330

375845680 has 80 divisors (see below), whose sum is σ = 1019131200. Its totient is φ = 128851968.

The previous prime is 375845651. The next prime is 375845693. The reversal of 375845680 is 86548573.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 375845680.

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, 20592 + ... + 34288.

It is an arithmetic number, because the mean of its divisors is an integer number (12739140).

Almost surely, 2375845680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 375845680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509565600).

375845680 is an abundant number, since it is smaller than the sum of its proper divisors (643285520).

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

375845680 is a wasteful number, since it uses less digits than its factorization.

375845680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13731 (or 13711 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The square root of 375845680 is about 19386.7397981197. The cubic root of 375845680 is about 721.6664588915. Note that the first 3 decimals are identical.

It can be divided in two parts, 37584 and 5680, that added together give a square (43264 = 2082).

The spelling of 375845680 in words is "three hundred seventy-five million, eight hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 343 392 490 560 686 784 980 1372 1715 1960 2744 3430 3920 5488 6860 13697 13720 27394 27440 54788 68485 95879 109576 136970 191758 219152 273940 383516 479395 547880 671153 767032 958790 1095760 1342306 1534064 1917580 2684612 3355765 3835160 4698071 5369224 6711530 7670320 9396142 10738448 13423060 18792284 23490355 26846120 37584568 46980710 53692240 75169136 93961420 187922840 375845680