Search a number
-
+
2053464120 = 233255939619
BaseRepresentation
bin111101001100101…
…0110000000111000
312022002221210012200
41322121112000320
513201141322440
6535432510200
7101613104601
oct17231260070
95262853180
102053464120
11964143a94
1249384b360
13269576436
14156a14da8
15c0423c30
hex7a656038

2053464120 has 96 divisors (see below), whose sum is σ = 6685707600. Its totient is φ = 546610176.

The previous prime is 2053464107. The next prime is 2053464151. The reversal of 2053464120 is 214643502.

2053464120 is a `hidden beast` number, since 2 + 0 + 534 + 6 + 4 + 120 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208671 + ... + 218289.

Almost surely, 22053464120 is an apocalyptic number.

2053464120 is a gapful number since it is divisible by the number (20) 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 2053464120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3342853800).

2053464120 is an abundant number, since it is smaller than the sum of its proper divisors (4632243480).

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

2053464120 is a wasteful number, since it uses less digits than its factorization.

2053464120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10229 (or 10222 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2053464120 is about 45315.1643492551. The cubic root of 2053464120 is about 1271.0492331521.

The spelling of 2053464120 in words is "two billion, fifty-three million, four hundred sixty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 593 1186 1779 2372 2965 3558 4744 5337 5930 7116 8895 9619 10674 11860 14232 17790 19238 21348 23720 26685 28857 35580 38476 42696 48095 53370 57714 71160 76952 86571 96190 106740 115428 144285 173142 192380 213480 230856 288570 346284 384760 432855 577140 692568 865710 1154280 1731420 3462840 5704067 11408134 17112201 22816268 28520335 34224402 45632536 51336603 57040670 68448804 85561005 102673206 114081340 136897608 171122010 205346412 228162680 256683015 342244020 410692824 513366030 684488040 1026732060 2053464120