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1123554040 = 235719720369
BaseRepresentation
bin100001011111000…
…0001001011111000
32220022011110101121
41002332001023320
54300112212130
6303253355024
736562023520
oct10276011370
92808143347
101123554040
11527242864
12274338a74
1314ba0999b
14a9310680
1568989d7a
hex42f812f8

1123554040 has 64 divisors (see below), whose sum is σ = 2903947200. Its totient is φ = 383244288.

The previous prime is 1123554031. The next prime is 1123554073. The reversal of 1123554040 is 404553211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1123553996 and 1123554014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44976 + ... + 65344.

It is an arithmetic number, because the mean of its divisors is an integer number (45374175).

Almost surely, 21123554040 is an apocalyptic number.

1123554040 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 1123554040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451973600).

1123554040 is an abundant number, since it is smaller than the sum of its proper divisors (1780393160).

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

1123554040 is a wasteful number, since it uses less digits than its factorization.

1123554040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20584 (or 20580 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 1123554040 is about 33519.4576328436. The cubic root of 1123554040 is about 1039.5961326326.

The spelling of 1123554040 in words is "one billion, one hundred twenty-three million, five hundred fifty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 197 280 394 788 985 1379 1576 1970 2758 3940 5516 6895 7880 11032 13790 20369 27580 40738 55160 81476 101845 142583 162952 203690 285166 407380 570332 712915 814760 1140664 1425830 2851660 4012693 5703320 8025386 16050772 20063465 28088851 32101544 40126930 56177702 80253860 112355404 140444255 160507720 224710808 280888510 561777020 1123554040