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2155968 = 263219197
BaseRepresentation
bin1000001110010111000000
311001112102200
420032113000
51022442333
6114113200
724216423
oct10162700
94045380
102155968
1112428a1
1287b800
135a6429
144019ba
152c8c13
hex20e5c0

2155968 has 84 divisors (see below), whose sum is σ = 6537960. Its totient is φ = 677376.

The previous prime is 2155963. The next prime is 2155999. The reversal of 2155968 is 8695512.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2155961) 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, 10846 + ... + 11042.

22155968 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 2155968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268980).

2155968 is an abundant number, since it is smaller than the sum of its proper divisors (4381992).

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

2155968 is a wasteful number, since it uses less digits than its factorization.

2155968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 221 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 2155968 is about 1468.3214906825. The cubic root of 2155968 is about 129.1855990748.

The spelling of 2155968 in words is "two million, one hundred fifty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 197 228 288 304 342 394 456 576 591 608 684 788 912 1182 1216 1368 1576 1773 1824 2364 2736 3152 3546 3648 3743 4728 5472 6304 7092 7486 9456 10944 11229 12608 14184 14972 18912 22458 28368 29944 33687 37824 44916 56736 59888 67374 89832 113472 119776 134748 179664 239552 269496 359328 538992 718656 1077984 2155968