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5460051100 = 2252747672477
BaseRepresentation
bin1010001010111000…
…11100010010011100
3112002112001100000211
411011130130102130
542140233113400
62301443502204
7252206445220
oct50534342234
915075040024
105460051100
112352069229
121084687964
1369026748a
1439b218780
1521e52cdba
hex14571c49c

5460051100 has 144 divisors (see below), whose sum is σ = 14041101312. Its totient is φ = 1804112640.

The previous prime is 5460051073. The next prime is 5460051137. The reversal of 5460051100 is 11500645.

It is a super-2 number, since 2×54600511002 = 59624316029222420000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2203062 + ... + 2205538.

It is an arithmetic number, because the mean of its divisors is an integer number (97507648).

Almost surely, 25460051100 is an apocalyptic number.

5460051100 is a gapful number since it is divisible by the number (50) 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 5460051100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7020550656).

5460051100 is an abundant number, since it is smaller than the sum of its proper divisors (8581050212).

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

5460051100 is a wasteful number, since it uses less digits than its factorization.

5460051100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 5460051100 is about 73892.1585826263. The cubic root of 5460051100 is about 1760.8900349387.

Adding to 5460051100 its reverse (11500645), we get a palindrome (5471551745).

The spelling of 5460051100 in words is "five billion, four hundred sixty million, fifty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 47 50 67 70 94 100 134 140 175 188 235 268 329 335 350 469 470 658 670 700 938 940 1175 1316 1340 1645 1675 1876 2345 2350 2477 3149 3290 3350 4690 4700 4954 6298 6580 6700 8225 9380 9908 11725 12385 12596 15745 16450 17339 22043 23450 24770 31490 32900 34678 44086 46900 49540 61925 62980 69356 78725 86695 88172 110215 116419 123850 157450 165959 173390 220430 232838 247700 314900 331918 346780 433475 440860 465676 551075 582095 663836 814933 829795 866950 1102150 1161713 1164190 1629866 1659590 1733900 2204300 2323426 2328380 2910475 3259732 3319180 4074665 4148975 4646852 5808565 5820950 7800073 8149330 8297950 11617130 11641900 15600146 16298660 16595900 20373325 23234260 29042825 31200292 39000365 40746650 54600511 58085650 78000730 81493300 109201022 116171300 156001460 195001825 218402044 273002555 390003650 546005110 780007300 1092010220 1365012775 2730025550 5460051100