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23494240 = 2557111907
BaseRepresentation
bin101100110011…
…1111001100000
31122012122001001
41121213321200
522003303430
62155321344
7403461220
oct131477140
948178031
1023494240
1112297630
127a50254
134b37a23
143198080
1520e13ca
hex1667e60

23494240 has 96 divisors (see below), whose sum is σ = 69237504. Its totient is φ = 7319040.

The previous prime is 23494193. The next prime is 23494253. The reversal of 23494240 is 4249432.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 23494199 and 23494208.

It is a congruent number.

It is an unprimeable number.

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, 11367 + ... + 13273.

It is an arithmetic number, because the mean of its divisors is an integer number (721224).

Almost surely, 223494240 is an apocalyptic number.

23494240 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 23494240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34618752).

23494240 is an abundant number, since it is smaller than the sum of its proper divisors (45743264).

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

23494240 is a wasteful number, since it uses less digits than its factorization.

23494240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 23494240 is about 4847.0857223697. The cubic root of 23494240 is about 286.4093117245.

The spelling of 23494240 in words is "twenty-three million, four hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 1907 2464 3080 3814 6160 7628 9535 12320 13349 15256 19070 20977 26698 30512 38140 41954 53396 61024 66745 76280 83908 104885 106792 133490 146839 152560 167816 209770 213584 266980 293678 305120 335632 419540 427168 533960 587356 671264 734195 839080 1067920 1174712 1468390 1678160 2135840 2349424 2936780 3356320 4698848 5873560 11747120 23494240