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6921100740 = 22351914394219
BaseRepresentation
bin1100111001000011…
…11001110111000100
3122212100021100100110
412130201321313010
5103133300210430
63102435113020
7333340246161
oct63441716704
918770240313
106921100740
112a31865474
121411a42770
13863b6c8a8
1449929d068
152a79317b0
hex19c879dc4

6921100740 has 96 divisors (see below), whose sum is σ = 20418048000. Its totient is φ = 1746859392.

The previous prime is 6921100723. The next prime is 6921100777. The reversal of 6921100740 is 470011296.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6921100698 and 6921100707.

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, 1638351 + ... + 1642569.

It is an arithmetic number, because the mean of its divisors is an integer number (212688000).

Almost surely, 26921100740 is an apocalyptic number.

6921100740 is a gapful number since it is divisible by the number (60) 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 6921100740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10209024000).

6921100740 is an abundant number, since it is smaller than the sum of its proper divisors (13496947260).

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

6921100740 is a wasteful number, since it uses less digits than its factorization.

6921100740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5689 (or 5687 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 6921100740 is about 83193.1532038545. The cubic root of 6921100740 is about 1905.7169214189.

The spelling of 6921100740 in words is "six billion, nine hundred twenty-one million, one hundred thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1439 2878 4219 4317 5756 7195 8438 8634 12657 14390 16876 17268 21095 21585 25314 27341 28780 42190 43170 50628 54682 63285 80161 82023 84380 86340 109364 126570 136705 160322 164046 240483 253140 273410 320644 328092 400805 410115 480966 546820 801610 820230 961932 1202415 1603220 1640460 2404830 4809660 6071141 12142282 18213423 24284564 30355705 36426846 60711410 72853692 91067115 115351679 121422820 182134230 230703358 346055037 364268460 461406716 576758395 692110074 1153516790 1384220148 1730275185 2307033580 3460550370 6921100740