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2729104 = 2472592
BaseRepresentation
bin1010011010010010010000
312010122121221
422122102100
51144312404
6134254424
732124400
oct12322220
95118557
102729104
1115a4464
12ab7414
13747271
14510800
1538d954
hex29a490

2729104 has 45 divisors (see below), whose sum is σ = 6256947. Its totient is φ = 1149792.

The previous prime is 2729101. The next prime is 2729107. The reversal of 2729104 is 4019272.

The square root of 2729104 is 1652.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (2729101) and next prime (2729107).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2729101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46227 + ... + 46285.

22729104 is an apocalyptic number.

2729104 is the 1652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2729104

2729104 is an abundant number, since it is smaller than the sum of its proper divisors (3527843).

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

2729104 is an equidigital number, since it uses as much as digits as its factorization.

2729104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The cubic root of 2729104 is about 139.7462068664.

Multiplying 2729104 by its sum of digits (25), we get a square (68227600 = 82602).

The spelling of 2729104 in words is "two million, seven hundred twenty-nine thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 59 98 112 118 196 236 392 413 472 784 826 944 1652 2891 3304 3481 5782 6608 6962 11564 13924 23128 24367 27848 46256 48734 55696 97468 170569 194936 341138 389872 682276 1364552 2729104