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2054120310 = 23551176847
BaseRepresentation
bin111101001101111…
…0110001101110110
312022011012010100000
41322123312031312
513201323322220
6535454532130
7101621506644
oct17233661566
95264163300
102054120310
11964551aa0
12493b07046
13269746008
14156b46194
15c0503390
hex7a6f6376

2054120310 has 96 divisors (see below), whose sum is σ = 6042097152. Its totient is φ = 497962080.

The previous prime is 2054120309. The next prime is 2054120329. The reversal of 2054120310 is 130214502.

It is a super-2 number, since 2×20541203102 = 8438820495908992200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11694 + ... + 65153.

It is an arithmetic number, because the mean of its divisors is an integer number (62938512).

Almost surely, 22054120310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2054120310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021048576).

2054120310 is an abundant number, since it is smaller than the sum of its proper divisors (3987976842).

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

2054120310 is a wasteful number, since it uses less digits than its factorization.

2054120310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76880 (or 76868 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2054120310 is about 45322.4040624502. The cubic root of 2054120310 is about 1271.1846078040.

Adding to 2054120310 its reverse (130214502), we get a palindrome (2184334812).

The spelling of 2054120310 in words is "two billion, fifty-four million, one hundred twenty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 243 270 297 330 405 486 495 594 810 891 990 1215 1485 1782 2430 2673 2970 4455 5346 8910 13365 26730 76847 153694 230541 384235 461082 691623 768470 845317 1152705 1383246 1690634 2074869 2305410 2535951 3458115 4149738 4226585 5071902 6224607 6916230 7607853 8453170 10374345 12449214 12679755 15215706 18673821 20748690 22823559 25359510 31123035 37347642 38039265 45647118 62246070 68470677 76078530 93369105 114117795 136941354 186738210 205412031 228235590 342353385 410824062 684706770 1027060155 2054120310