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1055247840 = 253251938569
BaseRepresentation
bin111110111001011…
…100110111100000
32201112122010220100
4332321130313200
54130120412330
6252413342400
735102313213
oct7671346740
92645563810
101055247840
114a1729359
12255497a00
1313a81210a
14a020d77a
1562996060
hex3ee5cde0

1055247840 has 144 divisors (see below), whose sum is σ = 3790659600. Its totient is φ = 266582016.

The previous prime is 1055247811. The next prime is 1055247877. The reversal of 1055247840 is 487425501.

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

It is a super-2 number, since 2×10552478402 = 2227096007649331200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1055247795 and 1055247804.

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, 8076 + ... + 46644.

It is an arithmetic number, because the mean of its divisors is an integer number (26324025).

Almost surely, 21055247840 is an apocalyptic number.

1055247840 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 1055247840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895329800).

1055247840 is an abundant number, since it is smaller than the sum of its proper divisors (2735411760).

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

1055247840 is a wasteful number, since it uses less digits than its factorization.

1055247840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38609 (or 38598 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 1055247840 is about 32484.5784950336. The cubic root of 1055247840 is about 1018.0868405918.

The spelling of 1055247840 in words is "one billion, fifty-five million, two hundred forty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 9120 13680 27360 38569 77138 115707 154276 192845 231414 308552 347121 385690 462828 578535 617104 694242 732811 771380 925656 1157070 1234208 1388484 1465622 1542760 1735605 1851312 2198433 2314140 2776968 2931244 3085520 3471210 3664055 3702624 4396866 4628280 5553936 5862488 6171040 6595299 6942420 7328110 8793732 9256560 10992165 11107872 11724976 13190598 13884840 14656220 17587464 18513120 21984330 23449952 26381196 27769680 29312440 32976495 35174928 43968660 52762392 55539360 58624880 65952990 70349856 87937320 105524784 117249760 131905980 175874640 211049568 263811960 351749280 527623920 1055247840