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423066960 = 243251374289
BaseRepresentation
bin11001001101110…
…111110101010000
31002111002000202200
4121031313311100
51331301120320
6105551443200
713325003241
oct3115676520
91074060680
10423066960
111a78a0518
12b9826500
13698599a4
144028acc8
152721d290
hex19377d50

423066960 has 120 divisors (see below), whose sum is σ = 1431504360. Its totient is φ = 111968256.

The previous prime is 423066953. The next prime is 423066983. The reversal of 423066960 is 69660324.

It can be written as a sum of positive squares in 4 ways, for example, as 149230656 + 273836304 = 12216^2 + 16548^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96496 + ... + 100784.

It is an arithmetic number, because the mean of its divisors is an integer number (11929203).

Almost surely, 2423066960 is an apocalyptic number.

423066960 is a gapful number since it is divisible by the number (40) 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 423066960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715752180).

423066960 is an abundant number, since it is smaller than the sum of its proper divisors (1008437400).

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

423066960 is a wasteful number, since it uses less digits than its factorization.

423066960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4445 (or 4436 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 423066960 is about 20568.5915900919. The cubic root of 423066960 is about 750.7056824747.

The spelling of 423066960 in words is "four hundred twenty-three million, sixty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 137 144 180 240 274 360 411 548 685 720 822 1096 1233 1370 1644 2055 2192 2466 2740 3288 4110 4289 4932 5480 6165 6576 8220 8578 9864 10960 12330 12867 16440 17156 19728 21445 24660 25734 32880 34312 38601 42890 49320 51468 64335 68624 77202 85780 98640 102936 128670 154404 171560 193005 205872 257340 308808 343120 386010 514680 587593 617616 772020 1029360 1175186 1544040 1762779 2350372 2937965 3088080 3525558 4700744 5288337 5875930 7051116 8813895 9401488 10576674 11751860 14102232 17627790 21153348 23503720 26441685 28204464 35255580 42306696 47007440 52883370 70511160 84613392 105766740 141022320 211533480 423066960