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3138764520 = 2335831512087
BaseRepresentation
bin1011101100010101…
…1011111011101000
322002202010202110210
42323011123323220
522412010431040
61235242341120
7140532025653
oct27305337350
98082122423
103138764520
111370829271
127371ba7a0
133b037b418
1421ac0889a
15135854480
hexbb15bee8

3138764520 has 128 divisors (see below), whose sum is σ = 9597450240. Its totient is φ = 821049600.

The previous prime is 3138764459. The next prime is 3138764533. The reversal of 3138764520 is 254678313.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1502917 + ... + 1505003.

It is an arithmetic number, because the mean of its divisors is an integer number (74980080).

Almost surely, 23138764520 is an apocalyptic number.

3138764520 is a gapful number since it is divisible by the number (30) 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 3138764520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4798725120).

3138764520 is an abundant number, since it is smaller than the sum of its proper divisors (6458685720).

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

3138764520 is a wasteful number, since it uses less digits than its factorization.

3138764520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 3138764520 is about 56024.6777768512. The cubic root of 3138764520 is about 1464.1522692408.

The spelling of 3138764520 in words is "three billion, one hundred thirty-eight million, seven hundred sixty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 151 166 249 302 332 415 453 498 604 664 755 830 906 996 1208 1245 1510 1660 1812 1992 2087 2265 2490 3020 3320 3624 4174 4530 4980 6040 6261 8348 9060 9960 10435 12522 12533 16696 18120 20870 25044 25066 31305 37599 41740 50088 50132 62610 62665 75198 83480 100264 125220 125330 150396 173221 187995 250440 250660 300792 315137 346442 375990 501320 519663 630274 692884 751980 866105 945411 1039326 1260548 1385768 1503960 1575685 1732210 1890822 2078652 2521096 2598315 3151370 3464420 3781644 4157304 4727055 5196630 6302740 6928840 7563288 9454110 10393260 12605480 18908220 20786520 26156371 37816440 52312742 78469113 104625484 130781855 156938226 209250968 261563710 313876452 392345565 523127420 627752904 784691130 1046254840 1569382260 3138764520