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2153000292 = 2231722292711
BaseRepresentation
bin1000000001010100…
…0010110101100100
312120001020202011120
42000111002311210
513402132002132
6553350133540
7104232125532
oct20025026544
95501222146
102153000292
11a05348a93
125010512b0
13284086a91
14165d25152
15c903602c
hex80542d64

2153000292 has 72 divisors (see below), whose sum is σ = 5361840960. Its totient is φ = 672253440.

The previous prime is 2153000287. The next prime is 2153000417. The reversal of 2153000292 is 2920003512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 792817 + ... + 795527.

Almost surely, 22153000292 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 2153000292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680920480).

2153000292 is an abundant number, since it is smaller than the sum of its proper divisors (3208840668).

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

2153000292 is a wasteful number, since it uses less digits than its factorization.

2153000292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 2153000292 is about 46400.4341790031. The cubic root of 2153000292 is about 1291.2629683694.

The spelling of 2153000292 in words is "two billion, one hundred fifty-three million, two hundred ninety-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 229 289 458 578 687 867 916 1156 1374 1734 2711 2748 3468 3893 5422 7786 8133 10844 11679 15572 16266 23358 32532 46087 46716 66181 92174 132362 138261 184348 198543 264724 276522 397086 553044 620819 783479 794172 1241638 1566958 1862457 2350437 2483276 3133916 3724914 4700874 7449828 9401748 10553923 21107846 31661769 42215692 63323538 126647076 179416691 358833382 538250073 717666764 1076500146 2153000292