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1072714368 = 27311223087
BaseRepresentation
bin111111111100000…
…101001010000000
32202202111112110210
4333330011022000
54144103324433
6254235554120
735403631065
oct7774051200
92682445423
101072714368
11500579200
1225b2bb940
1314131933b
14a2678c6c
1564296463
hex3ff05280

1072714368 has 96 divisors (see below), whose sum is σ = 3132118080. Its totient is φ = 325050880.

The previous prime is 1072714361. The next prime is 1072714373. The reversal of 1072714368 is 8634172701.

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

It is a super-2 number, since 2×10727143682 = 2301432230627278848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072714361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34921 + ... + 58007.

It is an arithmetic number, because the mean of its divisors is an integer number (32626230).

Almost surely, 21072714368 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 1072714368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566059040).

1072714368 is an abundant number, since it is smaller than the sum of its proper divisors (2059403712).

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

1072714368 is a wasteful number, since it uses less digits than its factorization.

1072714368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23126 (or 23103 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 1072714368 is about 32752.3185133511. The cubic root of 1072714368 is about 1023.6732762985.

The spelling of 1072714368 in words is "one billion, seventy-two million, seven hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 968 1056 1408 1452 1936 2112 2904 3872 4224 5808 7744 11616 15488 23087 23232 46174 46464 69261 92348 138522 184696 253957 277044 369392 507914 554088 738784 761871 1015828 1108176 1477568 1523742 2031656 2216352 2793527 2955136 3047484 4063312 4432704 5587054 6094968 8126624 8380581 8865408 11174108 12189936 16253248 16761162 22348216 24379872 32506496 33522324 44696432 48759744 67044648 89392864 97519488 134089296 178785728 268178592 357571456 536357184 1072714368