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1156000992 = 25343972887
BaseRepresentation
bin100010011100111…
…0010110011100000
32222120012221020120
41010321302303200
54331414012432
6310413040240
740434563166
oct10471626340
92876187216
101156000992
11543594723
12283186080
1315565a673
14ad759236
156b748c2c
hex44e72ce0

1156000992 has 96 divisors (see below), whose sum is σ = 3138170112. Its totient is φ = 372363264.

The previous prime is 1156000991. The next prime is 1156000997. The reversal of 1156000992 is 2990006511.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1156000991) 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, 398973 + ... + 401859.

It is an arithmetic number, because the mean of its divisors is an integer number (32689272).

Almost surely, 21156000992 is an apocalyptic number.

1156000992 is a gapful number since it is divisible by the number (12) 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 1156000992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569085056).

1156000992 is an abundant number, since it is smaller than the sum of its proper divisors (1982169120).

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

1156000992 is a wasteful number, since it uses less digits than its factorization.

1156000992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3040 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 1156000992 is about 34000.0145882322. The cubic root of 1156000992 is about 1049.5087625030.

The spelling of 1156000992 in words is "one billion, one hundred fifty-six million, nine hundred ninety-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 97 129 172 194 258 291 344 388 516 582 688 776 1032 1164 1376 1552 2064 2328 2887 3104 4128 4171 4656 5774 8342 8661 9312 11548 12513 16684 17322 23096 25026 33368 34644 46192 50052 66736 69288 92384 100104 124141 133472 138576 200208 248282 277152 280039 372423 400416 496564 560078 744846 840117 993128 1120156 1489692 1680234 1986256 2240312 2979384 3360468 3972512 4480624 5958768 6720936 8961248 11917536 12041677 13441872 24083354 26883744 36125031 48166708 72250062 96333416 144500124 192666832 289000248 385333664 578000496 1156000992