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423150560 = 2557675639
BaseRepresentation
bin11001001110001…
…100001111100000
31002111020021102222
4121032030033200
51331311304220
6105553330212
713325502050
oct3116141740
91074207388
10423150560
111a7948308
12b9866968
1369888a61
14402ad560
1527237e25
hex1938c3e0

423150560 has 96 divisors (see below), whose sum is σ = 1159764480. Its totient is φ = 142889472.

The previous prime is 423150547. The next prime is 423150593. The reversal of 423150560 is 65051324.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72221 + ... + 77859.

It is an arithmetic number, because the mean of its divisors is an integer number (12080880).

Almost surely, 2423150560 is an apocalyptic number.

423150560 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 423150560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579882240).

423150560 is an abundant number, since it is smaller than the sum of its proper divisors (736613920).

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

423150560 is a wasteful number, since it uses less digits than its factorization.

423150560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5728 (or 5720 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 423150560 is about 20570.6237144137. The cubic root of 423150560 is about 750.7551268635.

The spelling of 423150560 in words is "four hundred twenty-three million, one hundred fifty thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 67 70 80 112 134 140 160 224 268 280 335 469 536 560 670 938 1072 1120 1340 1876 2144 2345 2680 3752 4690 5360 5639 7504 9380 10720 11278 15008 18760 22556 28195 37520 39473 45112 56390 75040 78946 90224 112780 157892 180448 197365 225560 315784 377813 394730 451120 631568 755626 789460 902240 1263136 1511252 1578920 1889065 2644691 3022504 3157840 3778130 5289382 6045008 6315680 7556260 10578764 12090016 13223455 15112520 21157528 26446910 30225040 42315056 52893820 60450080 84630112 105787640 211575280 423150560