Search a number
-
+
375840 = 2534529
BaseRepresentation
bin1011011110000100000
3201002120000
41123300200
544011330
612020000
73123513
oct1336040
9632500
10375840
11237413
12161600
131020ba
149ad7a
1576560
hex5bc20

375840 has 120 divisors (see below), whose sum is σ = 1372140. Its totient is φ = 96768.

The previous prime is 375833. The next prime is 375841. The reversal of 375840 is 48573.

It can be written as a sum of positive squares in 2 ways, for example, as 374544 + 1296 = 612^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (375841) by changing a digit.

375840 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12946 + ... + 12974.

2375840 is an apocalyptic number.

375840 is a gapful number since it is divisible by the number (30) 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 375840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686070).

375840 is an abundant number, since it is smaller than the sum of its proper divisors (996300).

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

375840 is a wasteful number, since it uses less digits than its factorization.

375840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 375840 is about 613.0579091734. The cubic root of 375840 is about 72.1662823458.

The spelling of 375840 in words is "three hundred seventy-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 32 36 40 45 48 54 58 60 72 80 81 87 90 96 108 116 120 135 144 145 160 162 174 180 216 232 240 261 270 288 290 324 348 360 405 432 435 464 480 522 540 580 648 696 720 783 810 864 870 928 1044 1080 1160 1296 1305 1392 1440 1566 1620 1740 2088 2160 2320 2349 2592 2610 2784 3132 3240 3480 3915 4176 4320 4640 4698 5220 6264 6480 6960 7830 8352 9396 10440 11745 12528 12960 13920 15660 18792 20880 23490 25056 31320 37584 41760 46980 62640 75168 93960 125280 187920 375840