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7830056700 = 22335210727103
BaseRepresentation
bin1110100101011010…
…10010111011111100
3202012200122002112000
413102231102323330
5112013443303300
63332545142300
7365015245434
oct72255227374
922180562460
107830056700
113358954544
12162632a990
1397a28085b
14543cab2c4
1530c62bc00
hex1d2b52efc

7830056700 has 144 divisors (see below), whose sum is σ = 25408373760. Its totient is φ = 2068424640.

The previous prime is 7830056687. The next prime is 7830056701. The reversal of 7830056700 is 76500387.

It is a super-2 number, since 2×78300567002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7830056701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275349 + ... + 302451.

It is an arithmetic number, because the mean of its divisors is an integer number (176447040).

Almost surely, 27830056700 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 7830056700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12704186880).

7830056700 is an abundant number, since it is smaller than the sum of its proper divisors (17578317060).

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

7830056700 is a wasteful number, since it uses less digits than its factorization.

7830056700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27233 (or 27220 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 7830056700 is about 88487.6076069412. The cubic root of 7830056700 is about 1985.7365775420.

The spelling of 7830056700 in words is "seven billion, eight hundred thirty million, fifty-six thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 107 108 135 150 180 214 225 270 300 321 428 450 535 540 642 675 900 963 1070 1284 1350 1605 1926 2140 2675 2700 2889 3210 3852 4815 5350 5778 6420 8025 9630 10700 11556 14445 16050 19260 24075 27103 28890 32100 48150 54206 57780 72225 81309 96300 108412 135515 144450 162618 243927 271030 288900 325236 406545 487854 542060 677575 731781 813090 975708 1219635 1355150 1463562 1626180 2032725 2439270 2710300 2900021 2927124 3658905 4065450 4878540 5800042 6098175 7317810 8130900 8700063 11600084 12196350 14500105 14635620 17400126 18294525 24392700 26100189 29000210 34800252 36589050 43500315 52200378 58000420 72500525 73178100 78300567 87000630 104400756 130500945 145001050 156601134 174001260 217501575 261001890 290002100 313202268 391502835 435003150 522003780 652504725 783005670 870006300 1305009450 1566011340 1957514175 2610018900 3915028350 7830056700