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2115072 = 293517
BaseRepresentation
bin1000000100011000000000
310222110100000
420010120000
51020140242
6113200000
723656251
oct10043000
93873300
102115072
1112150a3
12860000
1359092b
143d0b28
152bba4c
hex204600

2115072 has 120 divisors (see below), whose sum is σ = 6702696. Its totient is φ = 663552.

The previous prime is 2115059. The next prime is 2115073. The reversal of 2115072 is 2705112.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2115073) 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, 124408 + ... + 124424.

22115072 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 2115072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351348).

2115072 is an abundant number, since it is smaller than the sum of its proper divisors (4587624).

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

2115072 is an frugal number, since it uses more digits than its factorization.

2115072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 2115072 is about 1454.3287111241. The cubic root of 2115072 is about 128.3635497897.

The spelling of 2115072 in words is "two million, one hundred fifteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 243 256 272 288 306 324 384 408 432 459 486 512 544 576 612 648 768 816 864 918 972 1088 1152 1224 1296 1377 1536 1632 1728 1836 1944 2176 2304 2448 2592 2754 3264 3456 3672 3888 4131 4352 4608 4896 5184 5508 6528 6912 7344 7776 8262 8704 9792 10368 11016 13056 13824 14688 15552 16524 19584 20736 22032 26112 29376 31104 33048 39168 41472 44064 58752 62208 66096 78336 88128 117504 124416 132192 176256 235008 264384 352512 528768 705024 1057536 2115072