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7923138120 = 233452445413
BaseRepresentation
bin1110110000100000…
…10111111001001000
3202110011210010020000
413120100113321020
5112211310404440
63350112203000
7400225364022
oct73020277110
922404703200
107923138120
1133a644aa37
121651539460
13993641211
145523bb012
153158b6730
hex1d8417e48

7923138120 has 80 divisors (see below), whose sum is σ = 26630558460. Its totient is φ = 2112835968.

The previous prime is 7923138103. The next prime is 7923138151. The reversal of 7923138120 is 218313297.

It can be written as a sum of positive squares in 2 ways, for example, as 6954559236 + 968578884 = 83394^2 + 31122^2 .

It is a super-2 number, since 2×79231381202 (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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1219467 + ... + 1225946.

Almost surely, 27923138120 is an apocalyptic number.

It is an amenable number.

7923138120 is an abundant number, since it is smaller than the sum of its proper divisors (18707420340).

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

7923138120 is a wasteful number, since it uses less digits than its factorization.

7923138120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445436 (or 2445423 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 7923138120 is about 89012.0110996263. The cubic root of 7923138120 is about 1993.5742201202.

The spelling of 7923138120 in words is "seven billion, nine hundred twenty-three million, one hundred thirty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 2445413 4890826 7336239 9781652 12227065 14672478 19563304 22008717 24454130 29344956 36681195 44017434 48908260 58689912 66026151 73362390 88034868 97816520 110043585 132052302 146724780 176069736 198078453 220087170 264104604 293449560 330130755 396156906 440174340 528209208 660261510 792313812 880348680 990392265 1320523020 1584627624 1980784530 2641046040 3961569060 7923138120