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3130287072 = 2531119315359
BaseRepresentation
bin1011101010010100…
…0110001111100000
322002011012001121020
42322211012033200
522402323141242
61234340525440
7140400000243
oct27245061740
98064161536
103130287072
111366a69010
127343b0880
133ab6a0893
14219a3d25a
15134c2c6ec
hexba9463e0

3130287072 has 96 divisors (see below), whose sum is σ = 9011036160. Its totient is φ = 943595520.

The previous prime is 3130287059. The next prime is 3130287077. The reversal of 3130287072 is 2707820313.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3130287077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196129 + ... + 211487.

It is an arithmetic number, because the mean of its divisors is an integer number (93864960).

Almost surely, 23130287072 is an apocalyptic number.

3130287072 is a gapful number since it is divisible by the number (32) 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 3130287072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505518080).

3130287072 is an abundant number, since it is smaller than the sum of its proper divisors (5880749088).

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

3130287072 is a wasteful number, since it uses less digits than its factorization.

3130287072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15576 (or 15568 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 3130287072 is about 55948.9684623408. The cubic root of 3130287072 is about 1462.8329108157.

The spelling of 3130287072 in words is "three billion, one hundred thirty million, two hundred eighty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 193 264 352 386 528 579 772 1056 1158 1544 2123 2316 3088 4246 4632 6176 6369 8492 9264 12738 15359 16984 18528 25476 30718 33968 46077 50952 61436 67936 92154 101904 122872 168949 184308 203808 245744 337898 368616 491488 506847 675796 737232 1013694 1351592 1474464 2027388 2703184 2964287 4054776 5406368 5928574 8109552 8892861 11857148 16219104 17785722 23714296 32607157 35571444 47428592 65214314 71142888 94857184 97821471 130428628 142285776 195642942 260857256 284571552 391285884 521714512 782571768 1043429024 1565143536 3130287072