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2153696 = 251737107
BaseRepresentation
bin1000001101110011100000
311001102022112
420031303200
51022404241
6114054452
724206666
oct10156340
94042275
102153696
111241116
1287a428
135a539c
14400c36
152c81eb
hex20dce0

2153696 has 48 divisors (see below), whose sum is σ = 4653936. Its totient is φ = 976896.

The previous prime is 2153693. The next prime is 2153699. The reversal of 2153696 is 6963512.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2153693) and next prime (2153699).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153693) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20075 + ... + 20181.

It is an arithmetic number, because the mean of its divisors is an integer number (96957).

22153696 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 2153696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326968).

2153696 is an abundant number, since it is smaller than the sum of its proper divisors (2500240).

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

2153696 is a wasteful number, since it uses less digits than its factorization.

2153696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 163 counting only the distinct ones).

The product of its digits is 9720, while the sum is 32.

The square root of 2153696 is about 1467.5476142190. The cubic root of 2153696 is about 129.1402037128.

The spelling of 2153696 in words is "two million, one hundred fifty-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 37 68 74 107 136 148 214 272 296 428 544 592 629 856 1184 1258 1712 1819 2516 3424 3638 3959 5032 7276 7918 10064 14552 15836 20128 29104 31672 58208 63344 67303 126688 134606 269212 538424 1076848 2153696