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1071359808 = 26353127829
BaseRepresentation
bin111111110110111…
…010011101000000
32202122221201100220
4333312322131000
54143232003213
6254150543040
735356256661
oct7766723500
92678851326
101071359808
114aa833532
1225a967a80
13140c6391c
14a2405368
15640c9e23
hex3fdba740

1071359808 has 112 divisors (see below), whose sum is σ = 2914375680. Its totient is φ = 347203584.

The previous prime is 1071359797. The next prime is 1071359813. The reversal of 1071359808 is 8089531701.

It is a super-2 number, since 2×10713598082 = 2295623676395593728, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1071359808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1291938 + ... + 1292766.

Almost surely, 21071359808 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 1071359808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457187840).

1071359808 is an abundant number, since it is smaller than the sum of its proper divisors (1843015872).

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

1071359808 is a wasteful number, since it uses less digits than its factorization.

1071359808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The square root of 1071359808 is about 32731.6331398236. The cubic root of 1071359808 is about 1023.2422168682.

The spelling of 1071359808 in words is "one billion, seventy-one million, three hundred fifty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 127 159 192 212 254 318 381 424 508 636 762 829 848 1016 1272 1524 1658 1696 2032 2487 2544 3048 3316 3392 4064 4974 5088 6096 6632 6731 8128 9948 10176 12192 13264 13462 19896 20193 24384 26528 26924 39792 40386 43937 53056 53848 79584 80772 87874 105283 107696 131811 159168 161544 175748 210566 215392 263622 315849 323088 351496 421132 430784 527244 631698 646176 702992 842264 1054488 1263396 1292352 1405984 1684528 2108976 2526792 2811968 3369056 4217952 5053584 5579999 6738112 8435904 10107168 11159998 16739997 20214336 22319996 33479994 44639992 66959988 89279984 133919976 178559968 267839952 357119936 535679904 1071359808