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2097396 = 2232722941
BaseRepresentation
bin1000000000000011110100
310221120002100
420000003310
51014104041
6112542100
723553600
oct10000364
93846070
102097396
111202894
12851930
13585882
143c8500
152b66b6
hex2000f4

2097396 has 108 divisors (see below), whose sum is σ = 6535620. Its totient is φ = 564480.

The previous prime is 2097383. The next prime is 2097397. The reversal of 2097396 is 6937902.

It can be written as a sum of positive squares in 2 ways, for example, as 509796 + 1587600 = 714^2 + 1260^2 .

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

It is a d-powerful number, because it can be written as 221 + 0 + 9 + 7 + 3 + 9 + 63 .

It is a self number, because there is not a number n which added to its sum of digits gives 2097396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2097397) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51136 + ... + 51176.

It is an arithmetic number, because the mean of its divisors is an integer number (60515).

22097396 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 2097396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267810).

2097396 is an abundant number, since it is smaller than the sum of its proper divisors (4438224).

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

2097396 is a wasteful number, since it uses less digits than its factorization.

2097396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 2097396 is about 1448.2389305636. The cubic root of 2097396 is about 128.0049640002.

The spelling of 2097396 in words is "two million, ninety-seven thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 41 42 49 58 63 82 84 87 98 116 123 126 147 164 174 196 203 246 252 261 287 294 348 369 406 441 492 522 574 588 609 738 812 861 882 1044 1148 1189 1218 1421 1476 1722 1764 1827 2009 2378 2436 2583 2842 3444 3567 3654 4018 4263 4756 5166 5684 6027 7134 7308 8036 8323 8526 10332 10701 12054 12789 14268 16646 17052 18081 21402 24108 24969 25578 33292 36162 42804 49938 51156 58261 72324 74907 99876 116522 149814 174783 233044 299628 349566 524349 699132 1048698 2097396