Search a number
-
+
2125152 = 253247157
BaseRepresentation
bin1000000110110101100000
310222222011100
420012311200
51021001102
6113314400
724030531
oct10066540
93888140
102125152
111221727
12865a00
135953b3
143d4688
152bea1c
hex206d60

2125152 has 72 divisors (see below), whose sum is σ = 6211296. Its totient is φ = 688896.

The previous prime is 2125147. The next prime is 2125157. The reversal of 2125152 is 2515212.

It is an interprime number because it is at equal distance from previous prime (2125147) and next prime (2125157).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13458 + ... + 13614.

It is an arithmetic number, because the mean of its divisors is an integer number (86268).

22125152 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 2125152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105648).

2125152 is an abundant number, since it is smaller than the sum of its proper divisors (4086144).

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

2125152 is a wasteful number, since it uses less digits than its factorization.

2125152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 209 counting only the distinct ones).

The product of its digits is 200, while the sum is 18.

The square root of 2125152 is about 1457.7901083489. The cubic root of 2125152 is about 128.5671448308.

The spelling of 2125152 in words is "two million, one hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 157 188 282 288 314 376 423 471 564 628 752 846 942 1128 1256 1413 1504 1692 1884 2256 2512 2826 3384 3768 4512 5024 5652 6768 7379 7536 11304 13536 14758 15072 22137 22608 29516 44274 45216 59032 66411 88548 118064 132822 177096 236128 265644 354192 531288 708384 1062576 2125152