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1077068472 = 233234345377
BaseRepresentation
bin100000000110010…
…1100001010111000
32210001200202011220
41000030230022320
54201212142342
6254513152040
735455634214
oct10014541270
92701622156
101077068472
11502a82537
1226085b620
131421b212c
14a308d944
15648565ec
hex4032c2b8

1077068472 has 64 divisors (see below), whose sum is σ = 2875150080. Its totient is φ = 335419392.

The previous prime is 1077068467. The next prime is 1077068479. The reversal of 1077068472 is 2748607701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077068479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1048 + ... + 46424.

It is an arithmetic number, because the mean of its divisors is an integer number (44924220).

Almost surely, 21077068472 is an apocalyptic number.

1077068472 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 1077068472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437575040).

1077068472 is an abundant number, since it is smaller than the sum of its proper divisors (1798081608).

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

1077068472 is a wasteful number, since it uses less digits than its factorization.

1077068472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45452 (or 45448 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The square root of 1077068472 is about 32818.7213644895. The cubic root of 1077068472 is about 1025.0564226724.

The spelling of 1077068472 in words is "one billion, seventy-seven million, sixty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 23 24 43 46 69 86 92 129 138 172 184 258 276 344 516 552 989 1032 1978 2967 3956 5934 7912 11868 23736 45377 90754 136131 181508 272262 363016 544524 1043671 1089048 1951211 2087342 3131013 3902422 4174684 5853633 6262026 7804844 8349368 11707266 12524052 15609688 23414532 25048104 44877853 46829064 89755706 134633559 179511412 269267118 359022824 538534236 1077068472