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2055413140 = 2251153409431
BaseRepresentation
bin111101010000011…
…0001110110010100
312022020121210202121
41322200301312110
513202141210030
6535542345324
7101635503064
oct17240616624
95266553677
102055413140
11965255350
1249442b244
13269aa95c1
14156da13a4
15c06ab47a
hex7a831d94

2055413140 has 96 divisors (see below), whose sum is σ = 4820497920. Its totient is φ = 729830400.

The previous prime is 2055413123. The next prime is 2055413153. The reversal of 2055413140 is 413145502.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4768725 + ... + 4769155.

It is an arithmetic number, because the mean of its divisors is an integer number (50213520).

Almost surely, 22055413140 is an apocalyptic number.

2055413140 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 2055413140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410248960).

2055413140 is an abundant number, since it is smaller than the sum of its proper divisors (2765084780).

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

2055413140 is a wasteful number, since it uses less digits than its factorization.

2055413140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2055413140 is about 45336.6644119304. The cubic root of 2055413140 is about 1271.4512395307.

Adding to 2055413140 its reverse (413145502), we get a palindrome (2468558642).

The spelling of 2055413140 in words is "two billion, fifty-five million, four hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 409 431 530 583 818 862 1060 1166 1636 1724 2045 2155 2332 2915 4090 4310 4499 4741 5830 8180 8620 8998 9482 11660 17996 18964 21677 22495 22843 23705 43354 44990 45686 47410 86708 89980 91372 94820 108385 114215 176279 216770 228430 238447 251273 352558 433540 456860 476894 502546 705116 881395 953788 1005092 1192235 1256365 1762790 1939069 2384470 2512730 3525580 3878138 4768940 5025460 7756276 9342787 9695345 18685574 19390690 37371148 38781380 46713935 93427870 102770657 186855740 205541314 411082628 513853285 1027706570 2055413140