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1125154140 = 22351110116879
BaseRepresentation
bin100001100010000…
…0111110101011100
32220102011202022120
41003010013311130
54301014413030
6303351542540
736611436525
oct10304076534
92812152276
101125154140
11528135a60
1227498aa50
1314c14a0a6
14a960984c
1568ba4010
hex43107d5c

1125154140 has 96 divisors (see below), whose sum is σ = 3471068160. Its totient is φ = 270048000.

The previous prime is 1125154133. The next prime is 1125154187. The reversal of 1125154140 is 414515211.

It is a super-3 number, since 3×11251541403 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1125154140.

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, 58221 + ... + 75099.

It is an arithmetic number, because the mean of its divisors is an integer number (36156960).

Almost surely, 21125154140 is an apocalyptic number.

1125154140 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 1125154140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735534080).

1125154140 is an abundant number, since it is smaller than the sum of its proper divisors (2345914020).

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

1125154140 is a wasteful number, since it uses less digits than its factorization.

1125154140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17003 (or 17001 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 1125154140 is about 33543.3173672492. The cubic root of 1125154140 is about 1040.0894092264.

Adding to 1125154140 its reverse (414515211), we get a palindrome (1539669351).

The spelling of 1125154140 in words is "one billion, one hundred twenty-five million, one hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6666 11110 13332 16665 16879 22220 33330 33758 50637 66660 67516 84395 101274 168790 185669 202548 253185 337580 371338 506370 557007 742676 928345 1012740 1114014 1704779 1856690 2228028 2785035 3409558 3713380 5114337 5570070 6819116 8523895 10228674 11140140 17047790 18752569 20457348 25571685 34095580 37505138 51143370 56257707 75010276 93762845 102286740 112515414 187525690 225030828 281288535 375051380 562577070 1125154140