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23428080 = 24325132503
BaseRepresentation
bin101100101011…
…1101111110000
31122002021021200
41121113233300
521444144310
62154051200
7403064304
oct131275760
948067250
1023428080
1112251955
127a19b00
134b13890
14317bd04
1520cb9c0
hex1657bf0

23428080 has 120 divisors (see below), whose sum is σ = 84765408. Its totient is φ = 5764608.

The previous prime is 23428079. The next prime is 23428081. The reversal of 23428080 is 8082432.

It is an interprime number because it is at equal distance from previous prime (23428079) and next prime (23428081).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23428081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8109 + ... + 10611.

Almost surely, 223428080 is an apocalyptic number.

23428080 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 23428080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42382704).

23428080 is an abundant number, since it is smaller than the sum of its proper divisors (61337328).

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

23428080 is a wasteful number, since it uses less digits than its factorization.

23428080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 23428080 is about 4840.2561915667. The cubic root of 23428080 is about 286.1402152049.

The spelling of 23428080 in words is "twenty-three million, four hundred twenty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 2503 3120 4680 5006 7509 9360 10012 12515 15018 20024 22527 25030 30036 32539 37545 40048 45054 50060 60072 65078 75090 90108 97617 100120 112635 120144 130156 150180 162695 180216 195234 200240 225270 260312 292851 300360 325390 360432 390468 450540 488085 520624 585702 600720 650780 780936 901080 976170 1171404 1301560 1464255 1561872 1802160 1952340 2342808 2603120 2928510 3904680 4685616 5857020 7809360 11714040 23428080