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1071424704 = 2637821971
BaseRepresentation
bin111111110111001…
…010010011000000
32202200002000101110
4333313022103000
54143241042304
6254152203320
735356650120
oct7767122300
92680060343
101071424704
114aa878269
1225a999540
13140c8731c
14a2420c80
15640de289
hex3fdca4c0

1071424704 has 112 divisors (see below), whose sum is σ = 3247070976. Its totient is φ = 305433600.

The previous prime is 1071424703. The next prime is 1071424747. The reversal of 1071424704 is 4074241701.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10714247042 = 2295901792682975232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1071424703) 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, 1102939 + ... + 1103909.

Almost surely, 21071424704 is an apocalyptic number.

1071424704 is a gapful number since it is divisible by the number (14) 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 1071424704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623535488).

1071424704 is an abundant number, since it is smaller than the sum of its proper divisors (2175646272).

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

1071424704 is an equidigital number, since it uses as much as digits as its factorization.

1071424704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 1071424704 is about 32732.6244593983. The cubic root of 1071424704 is about 1023.2628769010.

The spelling of 1071424704 in words is "one billion, seventy-one million, four hundred twenty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 821 971 1344 1642 1942 2463 2913 3284 3884 4926 5747 5826 6568 6797 7768 9852 11494 11652 13136 13594 15536 17241 19704 20391 22988 23304 26272 27188 31072 34482 39408 40782 45976 46608 52544 54376 62144 68964 78816 81564 91952 93216 108752 137928 157632 163128 183904 186432 217504 275856 326256 367808 435008 551712 652512 797191 1103424 1305024 1594382 2391573 3188764 4783146 5580337 6377528 9566292 11160674 12755056 16741011 19132584 22321348 25510112 33482022 38265168 44642696 51020224 66964044 76530336 89285392 133928088 153060672 178570784 267856176 357141568 535712352 1071424704