Search a number
-
+
23450880 = 283531197
BaseRepresentation
bin101100101110…
…1010100000000
31122010102120010
41121131110000
522000412010
62154344520
7403220625
oct131352400
948112503
1023450880
1112267aa2
127a2b140
134b2107b
14318634c
1520d3620
hex165d500

23450880 has 144 divisors (see below), whose sum is σ = 77704704. Its totient is φ = 6021120.

The previous prime is 23450873. The next prime is 23450891. The reversal of 23450880 is 8805432.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118942 + ... + 119138.

It is an arithmetic number, because the mean of its divisors is an integer number (539616).

Almost surely, 223450880 is an apocalyptic number.

23450880 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 23450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38852352).

23450880 is an abundant number, since it is smaller than the sum of its proper divisors (54253824).

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

23450880 is a wasteful number, since it uses less digits than its factorization.

23450880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 23450880 is about 4842.6108660515. The cubic root of 23450880 is about 286.2330081509.

The spelling of 23450880 in words is "twenty-three million, four hundred fifty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 197 240 248 256 310 320 372 384 394 465 480 496 591 620 640 744 768 788 930 960 985 992 1182 1240 1280 1488 1576 1860 1920 1970 1984 2364 2480 2955 2976 3152 3720 3840 3940 3968 4728 4960 5910 5952 6107 6304 7440 7880 7936 9456 9920 11820 11904 12214 12608 14880 15760 18321 18912 19840 23640 23808 24428 25216 29760 30535 31520 36642 37824 39680 47280 48856 50432 59520 61070 63040 73284 75648 91605 94560 97712 119040 122140 126080 146568 151296 183210 189120 195424 244280 252160 293136 366420 378240 390848 488560 586272 732840 756480 781696 977120 1172544 1465680 1563392 1954240 2345088 2931360 3908480 4690176 5862720 7816960 11725440 23450880