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23730480 = 24325231433
BaseRepresentation
bin101101010000…
…1100100110000
31122122122002200
41122201210300
522033333410
62204343200
7405464034
oct132414460
948578080
1023730480
1112439074
127b44b00
134bbb407
14321a1c4
15213b3c0
hex16a1930

23730480 has 120 divisors (see below), whose sum is σ = 83217888. Its totient is φ = 6048768.

The previous prime is 23730467. The next prime is 23730481. The reversal of 23730480 is 8403732.

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

It is not an unprimeable number, because it can be changed into a prime (23730481) 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, 15844 + ... + 17276.

Almost surely, 223730480 is an apocalyptic number.

23730480 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 23730480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41608944).

23730480 is an abundant number, since it is smaller than the sum of its proper divisors (59487408).

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

23730480 is a wasteful number, since it uses less digits than its factorization.

23730480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 23730480 is about 4871.3940509879. The cubic root of 23730480 is about 287.3660825585.

The spelling of 23730480 in words is "twenty-three million, seven hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1433 1656 1840 2070 2760 2866 3312 4140 4299 5520 5732 7165 8280 8598 11464 12897 14330 16560 17196 21495 22928 25794 28660 32959 34392 42990 51588 57320 64485 65918 68784 85980 98877 103176 114640 128970 131836 164795 171960 197754 206352 257940 263672 296631 329590 343920 395508 494385 515880 527344 593262 659180 791016 988770 1031760 1186524 1318360 1483155 1582032 1977540 2373048 2636720 2966310 3955080 4746096 5932620 7910160 11865240 23730480