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2157312 = 283532
BaseRepresentation
bin1000001110101100000000
311001121021110
420032230000
51023013222
6114123320
724223353
oct10165400
94047243
102157312
111243903
12880540
135a6c21
1440229a
152c930c
hex20eb00

2157312 has 54 divisors (see below), whose sum is σ = 5851972. Its totient is φ = 705536.

The previous prime is 2157307. The next prime is 2157313. The reversal of 2157312 is 2137512.

It is not an unprimeable number, because it can be changed into a prime (2157313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40678 + ... + 40730.

22157312 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 2157312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925986).

2157312 is an abundant number, since it is smaller than the sum of its proper divisors (3694660).

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

2157312 is an frugal number, since it uses more digits than its factorization.

2157312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 58 counting only the distinct ones).

The product of its digits is 420, while the sum is 21.

The square root of 2157312 is about 1468.7790848184. The cubic root of 2157312 is about 129.2124376579.

The spelling of 2157312 in words is "two million, one hundred fifty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 636 768 848 1272 1696 2544 2809 3392 5088 5618 6784 8427 10176 11236 13568 16854 20352 22472 33708 40704 44944 67416 89888 134832 179776 269664 359552 539328 719104 1078656 2157312