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117446004 = 223313233637
BaseRepresentation
bin1110000000000…
…01010101110100
322011222212122000
413000001111310
5220031233004
615353135300
72624163114
oct700012564
9264885560
10117446004
1160327a15
12333ba530
131b4415a0
1411853044
15a49dc39
hex7001574

117446004 has 96 divisors (see below), whose sum is σ = 342263040. Its totient is φ = 34556544.

The previous prime is 117445963. The next prime is 117446009. The reversal of 117446004 is 400644711.

117446004 is a `hidden beast` number, since 1 + 17 + 44 + 600 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117446009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30474 + ... + 34110.

It is an arithmetic number, because the mean of its divisors is an integer number (3565240).

Almost surely, 2117446004 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 117446004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171131520).

117446004 is an abundant number, since it is smaller than the sum of its proper divisors (224817036).

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

117446004 is a wasteful number, since it uses less digits than its factorization.

117446004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3686 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 117446004 is about 10837.2507583796. The cubic root of 117446004 is about 489.7180162927.

The spelling of 117446004 in words is "one hundred seventeen million, four hundred forty-six thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 27 36 39 46 52 54 69 78 92 108 117 138 156 207 234 276 299 351 414 468 598 621 702 828 897 1196 1242 1404 1794 2484 2691 3588 3637 5382 7274 8073 10764 10911 14548 16146 21822 32292 32733 43644 47281 65466 83651 94562 98199 130932 141843 167302 189124 196398 250953 283686 334604 392796 425529 501906 567372 752859 851058 1003812 1087463 1276587 1505718 1702116 2174926 2258577 2553174 3011436 3262389 4349852 4517154 5106348 6524778 9034308 9787167 13049556 19574334 29361501 39148668 58723002 117446004