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1070810048 = 267111971103
BaseRepresentation
bin111111110100110…
…100001111000000
32202121220210020102
4333310310033000
54143111410143
6254131101532
735351510120
oct7764641700
92677823212
101070810048
114aa498490
1225a7418a8
13140b00619
14a2300c80
156401c0b8
hex3fd343c0

1070810048 has 112 divisors (see below), whose sum is σ = 2665073664. Its totient is φ = 414704640.

The previous prime is 1070810047. The next prime is 1070810051. The reversal of 1070810048 is 8400180701.

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

It is a super-2 number, since 2×10708100482 = 2293268317795524608, 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 1070810048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070810047) 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, 970265 + ... + 971367.

Almost surely, 21070810048 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 1070810048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332536832).

1070810048 is an abundant number, since it is smaller than the sum of its proper divisors (1594263616).

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

1070810048 is a wasteful number, since it uses less digits than its factorization.

1070810048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 1070810048 is about 32723.2340699999. The cubic root of 1070810048 is about 1023.0671639790.

Adding to 1070810048 its reverse (8400180701), we get a palindrome (9470990749).

It can be divided in two parts, 1070 and 810048, that added together give a palindrome (811118).

The spelling of 1070810048 in words is "one billion, seventy million, eight hundred ten thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 197 224 308 352 394 448 616 704 788 1103 1232 1379 1576 2167 2206 2464 2758 3152 4334 4412 4928 5516 6304 7721 8668 8824 11032 12133 12608 15169 15442 17336 17648 22064 24266 30338 30884 34672 35296 44128 48532 60676 61768 69344 70592 84931 88256 97064 121352 123536 138688 169862 194128 217291 242704 247072 339724 388256 434582 485408 494144 679448 776512 869164 970816 1358896 1521037 1738328 2390201 2717792 3042074 3476656 4780402 5435584 6084148 6953312 9560804 12168296 13906624 16731407 19121608 24336592 33462814 38243216 48673184 66925628 76486432 97346368 133851256 152972864 267702512 535405024 1070810048