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10054632120 = 23351353121609
BaseRepresentation
bin10010101110100110…
…11000001010111000
3221221201120020022020
421113103120022320
5131042441211440
64341413354440
7504106651161
oct112723301270
927851506266
1010054632120
11429a639a25
121b47338a20
13c43108080
146b5504768
153dcaa03d0
hex2574d82b8

10054632120 has 128 divisors (see below), whose sum is σ = 33097377600. Its totient is φ = 2428268544.

The previous prime is 10054632103. The next prime is 10054632199. The reversal of 10054632120 is 2123645001.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 21876 + ... + 143484.

Almost surely, 210054632120 is an apocalyptic number.

10054632120 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 10054632120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16548688800).

10054632120 is an abundant number, since it is smaller than the sum of its proper divisors (23042745480).

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

10054632120 is a wasteful number, since it uses less digits than its factorization.

10054632120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121689 (or 121685 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 10054632120 in words is "ten billion, fifty-four million, six hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 53 60 65 78 104 106 120 130 156 159 195 212 260 265 312 318 390 424 520 530 636 689 780 795 1060 1272 1378 1560 1590 2067 2120 2756 3180 3445 4134 5512 6360 6890 8268 10335 13780 16536 20670 27560 41340 82680 121609 243218 364827 486436 608045 729654 972872 1216090 1459308 1580917 1824135 2432180 2918616 3161834 3648270 4742751 4864360 6323668 6445277 7296540 7904585 9485502 12647336 12890554 14593080 15809170 18971004 19335831 23713755 25781108 31618340 32226385 37942008 38671662 47427510 51562216 63236680 64452770 77343324 83788601 94855020 96679155 128905540 154686648 167577202 189710040 193358310 251365803 257811080 335154404 386716620 418943005 502731606 670308808 773433240 837886010 1005463212 1256829015 1675772020 2010926424 2513658030 3351544040 5027316060 10054632120