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23064960 = 273541293
BaseRepresentation
bin101011111111…
…1000110000000
31121101211011210
41113333012000
521401034320
62142210120
7400022532
oct127770600
947354153
1023064960
1112024056
127883940
134a17509
1430c5852
1520590e0
hex15ff180

23064960 has 128 divisors (see below), whose sum is σ = 75569760. Its totient is φ = 5980160.

The previous prime is 23064941. The next prime is 23064967. The reversal of 23064960 is 6946032.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23064967) by changing a digit.

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, 78574 + ... + 78866.

Almost surely, 223064960 is an apocalyptic number.

23064960 is a gapful number since it is divisible by the number (20) 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 23064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37784880).

23064960 is an abundant number, since it is smaller than the sum of its proper divisors (52504800).

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

23064960 is a wasteful number, since it uses less digits than its factorization.

23064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 23064960 is about 4802.5992962145. The cubic root of 23064960 is about 284.6541819711.

The spelling of 23064960 in words is "twenty-three million, sixty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 293 320 328 384 410 480 492 586 615 640 656 820 879 960 984 1172 1230 1312 1465 1640 1758 1920 1968 2344 2460 2624 2930 3280 3516 3936 4395 4688 4920 5248 5860 6560 7032 7872 8790 9376 9840 11720 12013 13120 14064 15744 17580 18752 19680 23440 24026 26240 28128 35160 36039 37504 39360 46880 48052 56256 60065 70320 72078 78720 93760 96104 112512 120130 140640 144156 180195 187520 192208 240260 281280 288312 360390 384416 480520 562560 576624 720780 768832 961040 1153248 1441560 1537664 1922080 2306496 2883120 3844160 4612992 5766240 7688320 11532480 23064960