[go: up one dir, main page]

Search a number
-
+
23490560 = 21253137
BaseRepresentation
bin101100110011…
…1000000000000
31122012102222202
41121213000000
522003144220
62155252332
7403444412
oct131470000
948172882
1023490560
1112294895
127a4a0a8
134b36152
1431969b2
1520e0275
hex1667000

23490560 has 104 divisors (see below), whose sum is σ = 59761536. Its totient is φ = 8847360.

The previous prime is 23490547. The next prime is 23490611. The reversal of 23490560 is 6509432.

It is a super-2 number, since 2×234905602 = 1103612818227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 634862 + ... + 634898.

Almost surely, 223490560 is an apocalyptic number.

23490560 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 23490560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29880768).

23490560 is an abundant number, since it is smaller than the sum of its proper divisors (36270976).

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

23490560 is an equidigital number, since it uses as much as digits as its factorization.

23490560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 23490560 is about 4846.7060979597. The cubic root of 23490560 is about 286.3943571186.

Adding to 23490560 its reverse (6509432), we get a palindrome (29999992).

The spelling of 23490560 in words is "twenty-three million, four hundred ninety thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 37 40 62 64 74 80 124 128 148 155 160 185 248 256 296 310 320 370 496 512 592 620 640 740 992 1024 1147 1184 1240 1280 1480 1984 2048 2294 2368 2480 2560 2960 3968 4096 4588 4736 4960 5120 5735 5920 7936 9176 9472 9920 10240 11470 11840 15872 18352 18944 19840 20480 22940 23680 31744 36704 37888 39680 45880 47360 63488 73408 75776 79360 91760 94720 126976 146816 151552 158720 183520 189440 293632 317440 367040 378880 587264 634880 734080 757760 1174528 1468160 2349056 2936320 4698112 5872640 11745280 23490560