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1223904 = 253111961
BaseRepresentation
bin100101010110011100000
32022011212210
410222303200
5303131104
642122120
713255143
oct4526340
92264783
101223904
117665a0
124b0340
1333b106
1423c05a
15192989
hex12ace0

1223904 has 96 divisors (see below), whose sum is σ = 3749760. Its totient is φ = 345600.

The previous prime is 1223897. The next prime is 1223921. The reversal of 1223904 is 4093221.

It is a tau number, because it is divible by the number of its divisors (96).

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, 20034 + ... + 20094.

It is an arithmetic number, because the mean of its divisors is an integer number (39060).

21223904 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 1223904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874880).

1223904 is an abundant number, since it is smaller than the sum of its proper divisors (2525856).

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

1223904 is a wasteful number, since it uses less digits than its factorization.

1223904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1223904 is about 1106.3019479328. The cubic root of 1223904 is about 106.9668281602.

The spelling of 1223904 in words is "one million, two hundred twenty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 61 66 76 88 96 114 122 132 152 176 183 209 228 244 264 304 352 366 418 456 488 528 608 627 671 732 836 912 976 1056 1159 1254 1342 1464 1672 1824 1952 2013 2318 2508 2684 2928 3344 3477 4026 4636 5016 5368 5856 6688 6954 8052 9272 10032 10736 12749 13908 16104 18544 20064 21472 25498 27816 32208 37088 38247 50996 55632 64416 76494 101992 111264 152988 203984 305976 407968 611952 1223904