Search a number
-
+
1055506100 = 2252115771663
BaseRepresentation
bin111110111010011…
…011111010110100
32201120010021011112
4332322123322310
54130202143400
6252423054152
735104440155
oct7672337264
92646107145
101055506100
114a18953a0
122555a1358
1313a8a282c
14a027992c
15629e7835
hex3ee9beb4

1055506100 has 72 divisors (see below), whose sum is σ = 2504506368. Its totient is φ = 382924800.

The previous prime is 1055506099. The next prime is 1055506121. The reversal of 1055506100 is 16055501.

It is a super-2 number, since 2×10555061002 = 2228186254274420000, 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 23 ways as a sum of consecutive naturals, for example, 633869 + ... + 635531.

Almost surely, 21055506100 is an apocalyptic number.

1055506100 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 1055506100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252253184).

1055506100 is an abundant number, since it is smaller than the sum of its proper divisors (1449000268).

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

1055506100 is a wasteful number, since it uses less digits than its factorization.

1055506100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The square root of 1055506100 is about 32488.5533688405. The cubic root of 1055506100 is about 1018.1698889053.

The spelling of 1055506100 in words is "one billion, fifty-five million, five hundred six thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 577 1100 1154 1663 2308 2885 3326 5770 6347 6652 8315 11540 12694 14425 16630 18293 25388 28850 31735 33260 36586 41575 57700 63470 73172 83150 91465 126940 158675 166300 182930 317350 365860 457325 634700 914650 959551 1829300 1919102 3838204 4797755 9595510 10555061 19191020 21110122 23988775 42220244 47977550 52775305 95955100 105550610 211101220 263876525 527753050 1055506100