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2089464 = 2331337181
BaseRepresentation
bin111111110000111111000
310221011012120
413332013320
51013330324
6112441240
723521506
oct7760770
93834176
102089464
1111a7933
12849220
13582090
143c5676
152b4179
hex1fe1f8

2089464 has 64 divisors (see below), whose sum is σ = 5809440. Its totient is φ = 622080.

The previous prime is 2089457. The next prime is 2089489. The reversal of 2089464 is 4649802.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11454 + ... + 11634.

22089464 is an apocalyptic number.

2089464 is a gapful number since it is divisible by the number (24) 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 2089464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904720).

2089464 is an abundant number, since it is smaller than the sum of its proper divisors (3719976).

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

2089464 is a wasteful number, since it uses less digits than its factorization.

2089464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2089464 is about 1445.4978381167. The cubic root of 2089464 is about 127.8433957169.

The spelling of 2089464 in words is "two million, eighty-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 181 222 296 312 362 444 481 543 724 888 962 1086 1443 1448 1924 2172 2353 2886 3848 4344 4706 5772 6697 7059 9412 11544 13394 14118 18824 20091 26788 28236 40182 53576 56472 80364 87061 160728 174122 261183 348244 522366 696488 1044732 2089464