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1104146406 = 2321129316203
BaseRepresentation
bin100000111001111…
…1110111111100110
32211221122110010100
41001303332333212
54230130141111
6301321404530
736235042506
oct10163767746
92757573110
101104146406
115172975a0
12269939746
131479a308c
14a68dba06
1566e04756
hex41cfefe6

1104146406 has 96 divisors (see below), whose sum is σ = 2787333120. Its totient is φ = 312580800.

The previous prime is 1104146401. The next prime is 1104146453. The reversal of 1104146406 is 6046414011.

1104146406 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 14 + 640 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1104146406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104146401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174901 + ... + 181103.

It is an arithmetic number, because the mean of its divisors is an integer number (29034720).

Almost surely, 21104146406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1104146406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393666560).

1104146406 is an abundant number, since it is smaller than the sum of its proper divisors (1683186714).

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

1104146406 is a wasteful number, since it uses less digits than its factorization.

1104146406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6282 (or 6279 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1104146406 is about 33228.6985300357. The cubic root of 1104146406 is about 1033.5755353408.

The spelling of 1104146406 in words is "one billion, one hundred four million, one hundred forty-six thousand, four hundred six".

Divisors: 1 2 3 6 9 11 18 22 29 31 33 58 62 66 87 93 99 174 186 198 261 279 319 341 522 558 638 682 899 957 1023 1798 1914 2046 2697 2871 3069 5394 5742 6138 6203 8091 9889 12406 16182 18609 19778 29667 37218 55827 59334 68233 89001 111654 136466 178002 179887 192293 204699 359774 384586 409398 539661 576879 614097 1079322 1153758 1228194 1618983 1730637 1978757 2115223 3237966 3461274 3957514 4230446 5576497 5936271 6345669 11152994 11872542 12691338 16729491 17808813 19037007 33458982 35617626 38074014 50188473 61341467 100376946 122682934 184024401 368048802 552073203 1104146406