[go: up one dir, main page]

Search a number
-
+
7955040 = 253516573
BaseRepresentation
bin11110010110001001100000
3112222011021010
4132112021200
54014030130
6442300520
7124421352
oct36261140
915864233
107955040
114543815
1227b7740
131856b32
1410b10d2
15a720b0
hex796260

7955040 has 48 divisors (see below), whose sum is σ = 25059888. Its totient is φ = 2121216.

The previous prime is 7955039. The next prime is 7955041. The reversal of 7955040 is 405597.

It is an interprime number because it is at equal distance from previous prime (7955039) and next prime (7955041).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×79550402 = 126565322803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 7954989 and 7955007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7955041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7807 + ... + 8766.

It is an arithmetic number, because the mean of its divisors is an integer number (522081).

Almost surely, 27955040 is an apocalyptic number.

It is an amenable number.

7955040 is an abundant number, since it is smaller than the sum of its proper divisors (17104848).

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

7955040 is a wasteful number, since it uses less digits than its factorization.

7955040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16591 (or 16583 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 7955040 is about 2820.4680462647. The cubic root of 7955040 is about 199.6246292581.

The spelling of 7955040 in words is "seven million, nine hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 16573 33146 49719 66292 82865 99438 132584 165730 198876 248595 265168 331460 397752 497190 530336 662920 795504 994380 1325840 1591008 1988760 2651680 3977520 7955040