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50001120 = 25325132671
BaseRepresentation
bin1011111010111…
…1010011100000
310111002022122100
42332233103200
5100300013440
64543410400
71145000601
oct276572340
9114068570
1050001120
1126251644
12148b3a00
13a488a80
1468d7da8
1545ca230
hex2faf4e0

50001120 has 144 divisors (see below), whose sum is σ = 183822912. Its totient is φ = 12303360.

The previous prime is 50001079. The next prime is 50001121. The reversal of 50001120 is 2110005.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×500011202 = 5000224002508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50001121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17385 + ... + 20055.

It is an arithmetic number, because the mean of its divisors is an integer number (1276548).

Almost surely, 250001120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91911456).

50001120 is an abundant number, since it is smaller than the sum of its proper divisors (133821792).

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

50001120 is a wasteful number, since it uses less digits than its factorization.

50001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 50001120 is about 7071.1470073815. The cubic root of 50001120 is about 368.4059005870.

Adding to 50001120 its reverse (2110005), we get a palindrome (52111125).

The spelling of 50001120 in words is "fifty million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 2671 3120 3744 4680 5342 6240 8013 9360 10684 13355 16026 18720 21368 24039 26710 32052 34723 40065 42736 48078 53420 64104 69446 80130 85472 96156 104169 106840 120195 128208 138892 160260 173615 192312 208338 213680 240390 256416 277784 312507 320520 347230 384624 416676 427360 480780 520845 555568 625014 641040 694460 769248 833352 961560 1041690 1111136 1250028 1282080 1388920 1562535 1666704 1923120 2083380 2500056 2777840 3125070 3333408 3846240 4166760 5000112 5555680 6250140 8333520 10000224 12500280 16667040 25000560 50001120