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7027107840 = 21132576249
BaseRepresentation
bin1101000101101100…
…10010100000000000
3200010201202001202100
412202312102200000
5103342414422330
63121143150400
7336065300604
oct64266224000
920121661670
107027107840
112a8668a145
121441445400
1387cb0769c
144a93b5504
152b1dc1060
hex1a2d92800

7027107840 has 144 divisors (see below), whose sum is σ = 24355012500. Its totient is φ = 1873870848.

The previous prime is 7027107809. The next prime is 7027107847. The reversal of 7027107840 is 487017207.

It can be written as a sum of positive squares in 2 ways, for example, as 7023780864 + 3326976 = 83808^2 + 1824^2 .

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

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 = 7027107795 and 7027107804.

It is not an unprimeable number, because it can be changed into a prime (7027107847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54036 + ... + 130284.

Almost surely, 27027107840 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 7027107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12177506250).

7027107840 is an abundant number, since it is smaller than the sum of its proper divisors (17327904660).

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

7027107840 is a wasteful number, since it uses less digits than its factorization.

7027107840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76282 (or 76259 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 7027107840 is about 83827.8464473471. The cubic root of 7027107840 is about 1915.3973084159.

The spelling of 7027107840 in words is "seven billion, twenty-seven million, one hundred seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4608 5120 5760 6144 7680 9216 10240 11520 15360 18432 23040 30720 46080 76249 92160 152498 228747 304996 381245 457494 609992 686241 762490 914988 1143735 1219984 1372482 1524980 1829976 2287470 2439968 2744964 3049960 3431205 3659952 4574940 4879936 5489928 6099920 6862410 7319904 9149880 9759872 10979856 12199840 13724820 14639808 18299760 19519744 21959712 24399680 27449640 29279616 36599520 39039488 43919424 48799360 54899280 58559232 73199040 78078976 87838848 97598720 109798560 117118464 146398080 156157952 175677696 195197440 219597120 234236928 292796160 351355392 390394880 439194240 468473856 585592320 702710784 780789760 878388480 1171184640 1405421568 1756776960 2342369280 3513553920 7027107840