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23090040 = 23325312069
BaseRepresentation
bin101100000010…
…1001101111000
31121110002120200
41120011031320
521402340130
62142522200
7400155621
oct130051570
947402520
1023090040
1112040986
127896360
134a25a5c
1430d0a48
152061760
hex1605378

23090040 has 96 divisors (see below), whose sum is σ = 77500800. Its totient is φ = 5955840.

The previous prime is 23090027. The next prime is 23090047. The reversal of 23090040 is 4009032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23089995 and 23090022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23090047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10126 + ... + 12194.

It is an arithmetic number, because the mean of its divisors is an integer number (807300).

Almost surely, 223090040 is an apocalyptic number.

23090040 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 23090040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38750400).

23090040 is an abundant number, since it is smaller than the sum of its proper divisors (54410760).

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

23090040 is a wasteful number, since it uses less digits than its factorization.

23090040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 23090040 is about 4805.2096728447. The cubic root of 23090040 is about 284.7573188049.

Adding to 23090040 its reverse (4009032), we get a palindrome (27099072).

The spelling of 23090040 in words is "twenty-three million, ninety thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2069 2232 2790 3720 4138 5580 6207 8276 10345 11160 12414 16552 18621 20690 24828 31035 37242 41380 49656 62070 64139 74484 82760 93105 124140 128278 148968 186210 192417 248280 256556 320695 372420 384834 513112 577251 641390 744840 769668 962085 1154502 1282780 1539336 1924170 2309004 2565560 2886255 3848340 4618008 5772510 7696680 11545020 23090040