Search a number
-
+
1969106112 = 26343112253
BaseRepresentation
bin111010101011110…
…0010110011000000
312002020012221210000
41311113202303000
513013042343422
6523220440000
766540061101
oct16527426300
95066187700
101969106112
11920566626
1246b549000
13254c4b55c
141497363a8
15b7d0dcac
hex755e2cc0

1969106112 has 140 divisors (see below), whose sum is σ = 6025830976. Its totient is φ = 635143680.

The previous prime is 1969106063. The next prime is 1969106123. The reversal of 1969106112 is 2116019691.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 154578 + ... + 166830.

Almost surely, 21969106112 is an apocalyptic number.

1969106112 is a gapful number since it is divisible by the number (12) 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 1969106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3012915488).

1969106112 is an abundant number, since it is smaller than the sum of its proper divisors (4056724864).

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

1969106112 is a wasteful number, since it uses less digits than its factorization.

1969106112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12308 (or 12289 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 1969106112 is about 44374.6111194228. The cubic root of 1969106112 is about 1253.4000472511.

The spelling of 1969106112 in words is "one billion, nine hundred sixty-nine million, one hundred six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 144 162 186 192 216 248 279 288 324 372 432 496 558 576 648 744 837 864 992 1116 1296 1488 1674 1728 1984 2232 2511 2592 2976 3348 4464 5022 5184 5952 6696 8928 10044 12253 13392 17856 20088 24506 26784 36759 40176 49012 53568 73518 80352 98024 110277 147036 160704 196048 220554 294072 330831 379843 392096 441108 588144 661662 759686 784192 882216 992493 1139529 1176288 1323324 1519372 1764432 1984986 2279058 2352576 2646648 3038744 3418587 3528864 3969972 4558116 5293296 6077488 6837174 7057728 7939944 9116232 10255761 10586592 12154976 13674348 15879888 18232464 20511522 21173184 24309952 27348696 30767283 31759776 36464928 41023044 54697392 61534566 63519552 72929856 82046088 109394784 123069132 164092176 218789568 246138264 328184352 492276528 656368704 984553056 1969106112