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2155120 = 245113179
BaseRepresentation
bin1000001110001001110000
311001111021021
420032021300
51022430440
6114105224
724214102
oct10161160
94044237
102155120
1112421a0
1287b214
135a5c26
14401572
152c884a
hex20e270

2155120 has 80 divisors (see below), whose sum is σ = 5713920. Its totient is φ = 748800.

The previous prime is 2155103. The next prime is 2155121. The reversal of 2155120 is 215512.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2155094 and 2155103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2155121) 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, 27241 + ... + 27319.

It is an arithmetic number, because the mean of its divisors is an integer number (71424).

22155120 is an apocalyptic number.

2155120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2155120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856960).

2155120 is an abundant number, since it is smaller than the sum of its proper divisors (3558800).

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

2155120 is a wasteful number, since it uses less digits than its factorization.

2155120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 2155120 is about 1468.0326971835. The cubic root of 2155120 is about 129.1686594675.

It can be divided in two parts, 215 and 5120, that added together give a palindrome (5335).

The spelling of 2155120 in words is "two million, one hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 79 80 88 110 124 155 158 176 220 248 310 316 341 395 440 496 620 632 682 790 869 880 1240 1264 1364 1580 1705 1738 2449 2480 2728 3160 3410 3476 4345 4898 5456 6320 6820 6952 8690 9796 12245 13640 13904 17380 19592 24490 26939 27280 34760 39184 48980 53878 69520 97960 107756 134695 195920 215512 269390 431024 538780 1077560 2155120