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1066655240 = 235737149691
BaseRepresentation
bin111111100100111…
…101111000001000
32202100002200220122
4333210331320020
54141030431430
6253502042412
735301264020
oct7744757010
92670080818
101066655240
114a810a962
12259279408
1313cca7461
14a193ca80
156399aee5
hex3f93de08

1066655240 has 128 divisors (see below), whose sum is σ = 2839968000. Its totient is φ = 352926720.

The previous prime is 1066655197. The next prime is 1066655267. The reversal of 1066655240 is 425566601.

It is a super-2 number, since 2×10666552402 = 2275506802038915200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1066655240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1543295 + ... + 1543985.

It is an arithmetic number, because the mean of its divisors is an integer number (22187250).

Almost surely, 21066655240 is an apocalyptic number.

1066655240 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 1066655240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419984000).

1066655240 is an abundant number, since it is smaller than the sum of its proper divisors (1773312760).

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

1066655240 is a wasteful number, since it uses less digits than its factorization.

1066655240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 1066655240 is about 32659.6883022481. The cubic root of 1066655240 is about 1021.7422613607.

The spelling of 1066655240 in words is "one billion, sixty-six million, six hundred fifty-five thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 149 185 259 280 296 298 370 518 596 691 740 745 1036 1043 1192 1295 1382 1480 1490 2072 2086 2590 2764 2980 3455 4172 4837 5180 5215 5513 5528 5960 6910 8344 9674 10360 10430 11026 13820 19348 20860 22052 24185 25567 27565 27640 38591 38696 41720 44104 48370 51134 55130 77182 96740 102268 102959 110260 127835 154364 178969 192955 193480 204536 205918 220520 255670 308728 357938 385910 411836 511340 514795 715876 720713 771820 823672 894845 1022680 1029590 1431752 1441426 1543640 1789690 2059180 2882852 3579380 3603565 3809483 4118360 5765704 7158760 7207130 7618966 14414260 15237932 19047415 26666381 28828520 30475864 38094830 53332762 76189660 106665524 133331905 152379320 213331048 266663810 533327620 1066655240