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189935104 = 29231272
BaseRepresentation
bin10110101001000…
…10111000000000
3111020101200222111
423110202320000
5342110410404
630502545104
74464264442
oct1324427000
9436350874
10189935104
1198239067
1253738194
1330472048
141b322492
1511a1c104
hexb522e00

189935104 has 60 divisors (see below), whose sum is σ = 399141864. Its totient is φ = 90123264.

The previous prime is 189935099. The next prime is 189935107. The reversal of 189935104 is 401539981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189935107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1495489 + ... + 1495615.

Almost surely, 2189935104 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 189935104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199570932).

189935104 is an abundant number, since it is smaller than the sum of its proper divisors (209206760).

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

189935104 is an frugal number, since it uses more digits than its factorization.

189935104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 189935104 is about 13781.6945257105. The cubic root of 189935104 is about 574.8242477350.

The spelling of 189935104 in words is "one hundred eighty-nine million, nine hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 92 127 128 184 254 256 368 508 512 736 1016 1472 2032 2921 2944 4064 5842 5888 8128 11684 11776 16129 16256 23368 32258 32512 46736 64516 65024 93472 129032 186944 258064 370967 373888 516128 741934 747776 1032256 1483868 1495552 2064512 2967736 4129024 5935472 8258048 11870944 23741888 47483776 94967552 189935104