Search a number
-
+
1067478016 = 2101197977
BaseRepresentation
bin111111101000000…
…110110000000000
32202101122111112211
4333220012300000
54141233244031
6253531431504
735311261543
oct7750066000
92671574484
101067478016
114a8622040
122595b5594
13140204ac7
14a1ab485a
1563aaebb1
hex3fa06c00

1067478016 has 88 divisors (see below), whose sum is σ = 2354312016. Its totient is φ = 479723520.

The previous prime is 1067477993. The next prime is 1067478017. The reversal of 1067478016 is 6108747601.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×10674780162 = 2279018629286592512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1067478016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1067478017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1092120 + ... + 1093096.

Almost surely, 21067478016 is an apocalyptic number.

1067478016 is a gapful number since it is divisible by the number (16) 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 1067478016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177156008).

1067478016 is an abundant number, since it is smaller than the sum of its proper divisors (1286834000).

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

1067478016 is an equidigital number, since it uses as much as digits as its factorization.

1067478016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 1067478016 is about 32672.2820751780. The cubic root of 1067478016 is about 1022.0049044716.

The spelling of 1067478016 in words is "one billion, sixty-seven million, four hundred seventy-eight thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 97 128 176 194 256 352 388 512 704 776 977 1024 1067 1408 1552 1954 2134 2816 3104 3908 4268 5632 6208 7816 8536 10747 11264 12416 15632 17072 21494 24832 31264 34144 42988 49664 62528 68288 85976 94769 99328 125056 136576 171952 189538 250112 273152 343904 379076 500224 546304 687808 758152 1000448 1042459 1092608 1375616 1516304 2084918 2751232 3032608 4169836 5502464 6065216 8339672 11004928 12130432 16679344 24260864 33358688 48521728 66717376 97043456 133434752 266869504 533739008 1067478016