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1050054040 = 235729891453
BaseRepresentation
bin111110100101101…
…000110110011000
32201011212021100101
4332211220312120
54122303212130
6252110145144
735010212020
oct7645506630
92634767311
101050054040
11499801162
122537b21b4
13139714069
149d65aa80
15622bc1ca
hex3e968d98

1050054040 has 128 divisors (see below), whose sum is σ = 2826576000. Its totient is φ = 343461888.

The previous prime is 1050054037. The next prime is 1050054053. The reversal of 1050054040 is 404500501.

It is a super-2 number, since 2×10500540402 = 2205226973840643200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1050053999 and 1050054017.

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, 721954 + ... + 723406.

It is an arithmetic number, because the mean of its divisors is an integer number (22082625).

Almost surely, 21050054040 is an apocalyptic number.

1050054040 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 1050054040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413288000).

1050054040 is an abundant number, since it is smaller than the sum of its proper divisors (1776521960).

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

1050054040 is a wasteful number, since it uses less digits than its factorization.

1050054040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 1050054040 is about 32404.5373366138. The cubic root of 1050054040 is about 1016.4137933599.

Adding to 1050054040 its reverse (404500501), we get a palindrome (1454554541).

The spelling of 1050054040 in words is "one billion, fifty million, fifty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 89 116 140 145 178 203 232 280 290 356 406 445 580 623 712 812 890 1015 1160 1246 1453 1624 1780 2030 2492 2581 2906 3115 3560 4060 4984 5162 5812 6230 7265 8120 10171 10324 11624 12460 12905 14530 18067 20342 20648 24920 25810 29060 36134 40684 42137 50855 51620 58120 72268 81368 84274 90335 101710 103240 129317 144536 168548 180670 203420 210685 258634 294959 337096 361340 406840 421370 517268 589918 646585 722680 842740 905219 1034536 1179836 1293170 1474795 1685480 1810438 2359672 2586340 2949590 3620876 3750193 4526095 5172680 5899180 7241752 7500386 9052190 11798360 15000772 18104380 18750965 26251351 30001544 36208760 37501930 52502702 75003860 105005404 131256755 150007720 210010808 262513510 525027020 1050054040