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1070813808 = 243239718731
BaseRepresentation
bin111111110100110…
…101001001110000
32202121220222101200
4333310311021300
54143112020213
6254131131200
735351524101
oct7764651160
92677828350
101070813808
114aa4a0299
1225a743b00
13140b0224c
14a23023a8
156401d273
hex3fd35270

1070813808 has 60 divisors (see below), whose sum is σ = 3004500408. Its totient is φ = 356019840.

The previous prime is 1070813801. The next prime is 1070813839. The reversal of 1070813808 is 8083180701.

It is a super-2 number, since 2×10708138082 = 2293284422806921728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070813801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47803 + ... + 66533.

Almost surely, 21070813808 is an apocalyptic number.

1070813808 is a gapful number since it is divisible by the number (18) 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 1070813808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502250204).

1070813808 is an abundant number, since it is smaller than the sum of its proper divisors (1933686600).

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

1070813808 is a wasteful number, since it uses less digits than its factorization.

1070813808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19142 (or 19133 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 1070813808 is about 32723.2915214836. The cubic root of 1070813808 is about 1023.0683614301.

It can be divided in two parts, 107081 and 3808, that added together give a square (110889 = 3332).

The spelling of 1070813808 in words is "one billion, seventy million, eight hundred thirteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 397 794 1191 1588 2382 3176 3573 4764 6352 7146 9528 14292 18731 19056 28584 37462 56193 57168 74924 112386 149848 168579 224772 299696 337158 449544 674316 899088 1348632 2697264 7436207 14872414 22308621 29744828 44617242 59489656 66925863 89234484 118979312 133851726 178468968 267703452 356937936 535406904 1070813808