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1215040120 = 235719353647
BaseRepresentation
bin100100001101100…
…0000101001111000
310010200022102200221
41020123000221320
54442022240440
6320322305424
742052446010
oct11033005170
93120272627
101215040120
11573949698
1229aab8274
1316495c168
14b7526c40
1571a0bd4a
hex486c0a78

1215040120 has 128 divisors (see below), whose sum is σ = 3303244800. Its totient is φ = 392933376.

The previous prime is 1215040103. The next prime is 1215040129. The reversal of 1215040120 is 210405121.

It is a super-2 number, since 2×12150401202 = 2952644986419228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1215040094 and 1215040103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1215040129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1877637 + ... + 1878283.

It is an arithmetic number, because the mean of its divisors is an integer number (25806600).

Almost surely, 21215040120 is an apocalyptic number.

1215040120 is a gapful number since it is divisible by the number (10) 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 1215040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651622400).

1215040120 is an abundant number, since it is smaller than the sum of its proper divisors (2088204680).

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

1215040120 is a wasteful number, since it uses less digits than its factorization.

1215040120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1215040120 is about 34857.4256077525. The cubic root of 1215040120 is about 1067.0797362844.

Adding to 1215040120 its reverse (210405121), we get a palindrome (1425445241).

The spelling of 1215040120 in words is "one billion, two hundred fifteen million, forty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 353 380 532 647 665 706 760 1064 1294 1330 1412 1765 2471 2588 2660 2824 3235 3530 4529 4942 5176 5320 6470 6707 7060 9058 9884 12293 12355 12940 13414 14120 18116 19768 22645 24586 24710 25880 26828 33535 36232 45290 46949 49172 49420 53656 61465 67070 86051 90580 93898 98344 98840 122930 134140 172102 181160 187796 228391 234745 245860 268280 344204 375592 430255 456782 469490 491720 688408 860510 913564 938980 1141955 1598737 1721020 1827128 1877960 2283910 3197474 3442040 4339429 4567820 6394948 7993685 8678858 9135640 12789896 15987370 17357716 21697145 30376003 31974740 34715432 43394290 60752006 63949480 86788580 121504012 151880015 173577160 243008024 303760030 607520060 1215040120