Search a number
-
+
7152000 = 27353149
BaseRepresentation
bin11011010010000110000000
3111110100200220
4123102012000
53312331000
6413143040
7114535212
oct33220600
914410626
107152000
114045449
12248aa80
13163546b
14d425b2
159641a0
hex6d2180

7152000 has 128 divisors (see below), whose sum is σ = 23868000. Its totient is φ = 1894400.

The previous prime is 7151983. The next prime is 7152007. The reversal of 7152000 is 2517.

It is a happy number.

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

It is a super-2 number, since 2×71520002 = 102302208000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7152007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47926 + ... + 48074.

Almost surely, 27152000 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 7152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11934000).

7152000 is an abundant number, since it is smaller than the sum of its proper divisors (16716000).

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

7152000 is a wasteful number, since it uses less digits than its factorization.

7152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 7152000 is about 2674.3223440715. The cubic root of 7152000 is about 192.6678134107.

Adding to 7152000 its reverse (2517), we get a palindrome (7154517).

The spelling of 7152000 in words is "seven million, one hundred fifty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 149 150 160 192 200 240 250 298 300 320 375 384 400 447 480 500 596 600 640 745 750 800 894 960 1000 1192 1200 1490 1500 1600 1788 1920 2000 2235 2384 2400 2980 3000 3200 3576 3725 4000 4470 4768 4800 5960 6000 7152 7450 8000 8940 9536 9600 11175 11920 12000 14304 14900 16000 17880 18625 19072 22350 23840 24000 28608 29800 35760 37250 44700 47680 48000 55875 57216 59600 71520 74500 89400 95360 111750 119200 143040 149000 178800 223500 238400 286080 298000 357600 447000 476800 596000 715200 894000 1192000 1430400 1788000 2384000 3576000 7152000