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4053026120 = 2351113838537
BaseRepresentation
bin1111000110010100…
…0100010101001000
3101110110111001121112
43301211010111020
531300033313440
61510102225452
7202303103453
oct36145042510
911413431545
104053026120
11179a911570
12951425288
134c78c9310
142a63d849a
1518ac4b965
hexf1944548

4053026120 has 128 divisors (see below), whose sum is σ = 10843943040. Its totient is φ = 1343907840.

The previous prime is 4053026119. The next prime is 4053026141. The reversal of 4053026120 is 216203504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470492 + ... + 479028.

It is an arithmetic number, because the mean of its divisors is an integer number (84718305).

Almost surely, 24053026120 is an apocalyptic number.

4053026120 is a gapful number since it is divisible by the number (40) 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 4053026120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5421971520).

4053026120 is an abundant number, since it is smaller than the sum of its proper divisors (6790916920).

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

4053026120 is a wasteful number, since it uses less digits than its factorization.

4053026120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8655 (or 8651 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 4053026120 is about 63663.3813113944. The cubic root of 4053026120 is about 1594.3847589295.

Adding to 4053026120 its reverse (216203504), we get a palindrome (4269229624).

The spelling of 4053026120 in words is "four billion, fifty-three million, twenty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 83 88 104 110 130 143 166 220 260 286 332 415 440 520 572 664 715 830 913 1079 1144 1430 1660 1826 2158 2860 3320 3652 4316 4565 5395 5720 7304 8537 8632 9130 10790 11869 17074 18260 21580 23738 34148 36520 42685 43160 47476 59345 68296 85370 93907 94952 110981 118690 170740 187814 221962 237380 341480 375628 443924 469535 474760 554905 708571 751256 887848 939070 1109810 1220791 1417142 1878140 2219620 2441582 2834284 3542855 3756280 4439240 4883164 5668568 6103955 7085710 7794281 9211423 9766328 12207910 14171420 15588562 18422846 24415820 28342840 31177124 36845692 38971405 46057115 48831640 62354248 73691384 77942810 92114230 101325653 155885620 184228460 202651306 311771240 368456920 405302612 506628265 810605224 1013256530 2026513060 4053026120