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1055016420 = 2235191815113
BaseRepresentation
bin111110111000100…
…100010111100100
32201112012101110020
4332320210113210
54130041011140
6252404355140
735100330423
oct7670442744
92645171406
101055016420
114a15904a7
122553a5ab0
1313a760993
14a018d2ba
156294c6d0
hex3ee245e4

1055016420 has 96 divisors (see below), whose sum is σ = 3127313280. Its totient is φ = 265006080.

The previous prime is 1055016419. The next prime is 1055016421. The reversal of 1055016420 is 246105501.

It is an interprime number because it is at equal distance from previous prime (1055016419) and next prime (1055016421).

It is a super-2 number, since 2×10550164202 = 2226119292939232800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1055016421) 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, 203784 + ... + 208896.

It is an arithmetic number, because the mean of its divisors is an integer number (32576180).

Almost surely, 21055016420 is an apocalyptic number.

1055016420 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 1055016420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563656640).

1055016420 is an abundant number, since it is smaller than the sum of its proper divisors (2072296860).

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

1055016420 is a wasteful number, since it uses less digits than its factorization.

1055016420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5325 (or 5323 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1055016420 is about 32481.0163018339. The cubic root of 1055016420 is about 1018.0124116684.

The spelling of 1055016420 in words is "one billion, fifty-five million, sixteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 181 190 228 285 362 380 543 570 724 905 1086 1140 1810 2172 2715 3439 3620 5113 5430 6878 10226 10317 10860 13756 15339 17195 20452 20634 25565 30678 34390 41268 51130 51585 61356 68780 76695 97147 102260 103170 153390 194294 206340 291441 306780 388588 485735 582882 925453 971470 1165764 1457205 1850906 1942940 2776359 2914410 3701812 4627265 5552718 5828820 9254530 11105436 13881795 17583607 18509060 27763590 35167214 52750821 55527180 70334428 87918035 105501642 175836070 211003284 263754105 351672140 527508210 1055016420