Search a number
-
+
9875840 = 275131187
BaseRepresentation
bin100101101011…
…000110000000
3200120202002212
4211223012000
510012011330
6551401252
7146641352
oct45530600
920522085
109875840
115635957
123383228
13207a1c0
1414510d2
15d01295
hex96b180

9875840 has 64 divisors (see below), whose sum is σ = 25446960. Its totient is φ = 3643392.

The previous prime is 9875821. The next prime is 9875893. The reversal of 9875840 is 485789.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7727 + ... + 8913.

Almost surely, 29875840 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 9875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12723480).

9875840 is an abundant number, since it is smaller than the sum of its proper divisors (15571120).

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

9875840 is a wasteful number, since it uses less digits than its factorization.

9875840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The square root of 9875840 is about 3142.5849232757. The cubic root of 9875840 is about 214.5481043956.

The spelling of 9875840 in words is "nine million, eight hundred seventy-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1187 1664 2080 2374 4160 4748 5935 8320 9496 11870 15431 18992 23740 30862 37984 47480 61724 75968 77155 94960 123448 151936 154310 189920 246896 308620 379840 493792 617240 759680 987584 1234480 1975168 2468960 4937920 9875840