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1055514040 = 235731277439
BaseRepresentation
bin111110111010011…
…101110110111000
32201120010200001121
4332322131312320
54130202422130
6252423155024
735104502260
oct7672356670
92646120047
101055514040
114a18a0359
122555a5a74
1313a8a6329
14a027c7a0
15629e9d7a
hex3ee9ddb8

1055514040 has 128 divisors (see below), whose sum is σ = 2818252800. Its totient is φ = 348157440.

The previous prime is 1055513929. The next prime is 1055514079. The reversal of 1055514040 is 404155501.

It is a happy number.

It is a super-2 number, since 2×10555140402 = 2228219777274243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1055513996 and 1055514014.

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, 2404141 + ... + 2404579.

It is an arithmetic number, because the mean of its divisors is an integer number (22017600).

Almost surely, 21055514040 is an apocalyptic number.

1055514040 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 1055514040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409126400).

1055514040 is an abundant number, since it is smaller than the sum of its proper divisors (1762738760).

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

1055514040 is a wasteful number, since it uses less digits than its factorization.

1055514040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 1055514040 is about 32488.6755654951. The cubic root of 1055514040 is about 1018.1724419456.

Adding to 1055514040 its reverse (404155501), we get a palindrome (1459669541).

The spelling of 1055514040 in words is "one billion, fifty-five million, five hundred fourteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 277 280 310 434 439 554 620 868 878 1085 1108 1240 1385 1736 1756 1939 2170 2195 2216 2770 3073 3512 3878 4340 4390 5540 6146 7756 8587 8680 8780 9695 11080 12292 13609 15365 15512 17174 17560 19390 24584 27218 30730 34348 38780 42935 54436 60109 61460 68045 68696 77560 85870 95263 108872 120218 121603 122920 136090 171740 190526 240436 243206 272180 300545 343480 381052 476315 480872 486412 544360 601090 608015 762104 851221 952630 972824 1202180 1216030 1702442 1905260 2404360 2432060 3404884 3769693 3810520 4256105 4864120 6809768 7539386 8512210 15078772 17024420 18848465 26387851 30157544 34048840 37696930 52775702 75393860 105551404 131939255 150787720 211102808 263878510 527757020 1055514040