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1055933880 = 2335127193359
BaseRepresentation
bin111110111100000…
…100010110111000
32201120220222222020
4332330010112320
54130304341010
6252440154440
735111201301
oct7674042670
92646828866
101055933880
114a2057831
12255768a20
1313a9c2461
14a034b7a8
1562a7e470
hex3ef045b8

1055933880 has 128 divisors (see below), whose sum is σ = 3218227200. Its totient is φ = 277143552.

The previous prime is 1055933867. The next prime is 1055933897. The reversal of 1055933880 is 883395501.

It is a super-2 number, since 2×10559338802 = 2229992717863708800, which contains 22 as substring.

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, 2941141 + ... + 2941499.

It is an arithmetic number, because the mean of its divisors is an integer number (25142400).

Almost surely, 21055933880 is an apocalyptic number.

1055933880 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 1055933880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609113600).

1055933880 is an abundant number, since it is smaller than the sum of its proper divisors (2162293320).

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

1055933880 is a wasteful number, since it uses less digits than its factorization.

1055933880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 1055933880 is about 32495.1362514454. The cubic root of 1055933880 is about 1018.3074197345.

The spelling of 1055933880 in words is "one billion, fifty-five million, nine hundred thirty-three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 193 254 359 381 386 508 579 635 718 762 772 965 1016 1077 1158 1270 1436 1524 1544 1795 1905 1930 2154 2316 2540 2872 2895 3048 3590 3810 3860 4308 4632 5080 5385 5790 7180 7620 7720 8616 10770 11580 14360 15240 21540 23160 24511 43080 45593 49022 69287 73533 91186 98044 122555 136779 138574 147066 182372 196088 207861 227965 245110 273558 277148 294132 346435 364744 367665 415722 455930 490220 547116 554296 588264 683895 692870 735330 831444 911860 980440 1039305 1094232 1367790 1385740 1470660 1662888 1823720 2078610 2735580 2771480 2941320 4157220 5471160 8314440 8799449 17598898 26398347 35197796 43997245 52796694 70395592 87994490 105593388 131991735 175988980 211186776 263983470 351977960 527966940 1055933880