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1077067068 = 2237115472131
BaseRepresentation
bin100000000110010…
…1011110100111100
32210001200200020220
41000030223310330
54201212121233
6254513141340
735455630140
oct10014536474
92701620226
101077067068
11502a81480
1226085a850
131421b15bc
14a308d220
1564855eb3
hex4032bd3c

1077067068 has 96 divisors (see below), whose sum is σ = 3140487168. Its totient is φ = 279115200.

The previous prime is 1077067067. The next prime is 1077067073. The reversal of 1077067068 is 8607607701.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077067063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504363 + ... + 506493.

It is an arithmetic number, because the mean of its divisors is an integer number (32713408).

Almost surely, 21077067068 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 1077067068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570243584).

1077067068 is an abundant number, since it is smaller than the sum of its proper divisors (2063420100).

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

1077067068 is a wasteful number, since it uses less digits than its factorization.

1077067068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 1077067068 is about 32818.6999742525. The cubic root of 1077067068 is about 1025.0559772721.

The spelling of 1077067068 in words is "one billion, seventy-seven million, sixty-seven thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 547 924 1094 1641 2131 2188 3282 3829 4262 6017 6393 6564 7658 8524 11487 12034 12786 14917 15316 18051 22974 23441 24068 25572 29834 36102 42119 44751 45948 46882 59668 70323 72204 84238 89502 93764 126357 140646 164087 168476 179004 252714 281292 328174 492261 505428 656348 984522 1165657 1969044 2331314 3496971 4662628 6993942 8159599 12822227 13987884 16319198 24478797 25644454 32638396 38466681 48957594 51288908 76933362 89755589 97915188 153866724 179511178 269266767 359022356 538533534 1077067068