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23245040 = 24571331103
BaseRepresentation
bin101100010101…
…1000011110000
31121201222012102
41120223003300
521422320130
62150115532
7401402540
oct130530360
947658172
1023245040
1112137385
12794bba8
134a7b480
143131320
152092645
hex162b0f0

23245040 has 160 divisors (see below), whose sum is σ = 69328896. Its totient is φ = 7050240.

The previous prime is 23245031. The next prime is 23245051. The reversal of 23245040 is 4054232.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 225629 + ... + 225731.

Almost surely, 223245040 is an apocalyptic number.

23245040 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 23245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34664448).

23245040 is an abundant number, since it is smaller than the sum of its proper divisors (46083856).

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

23245040 is a wasteful number, since it uses less digits than its factorization.

23245040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 23245040 is about 4821.3110250221. The cubic root of 23245040 is about 285.3930761637.

Adding to 23245040 its reverse (4054232), we get a palindrome (27299272).

The spelling of 23245040 in words is "twenty-three million, two hundred forty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 31 35 40 52 56 62 65 70 80 91 103 104 112 124 130 140 155 182 206 208 217 248 260 280 310 364 403 412 434 455 496 515 520 560 620 721 728 806 824 868 910 1030 1040 1085 1240 1339 1442 1456 1612 1648 1736 1820 2015 2060 2170 2480 2678 2821 2884 3193 3224 3472 3605 3640 4030 4120 4340 5356 5642 5768 6386 6448 6695 7210 7280 8060 8240 8680 9373 10712 11284 11536 12772 13390 14105 14420 15965 16120 17360 18746 21424 22351 22568 25544 26780 28210 28840 31930 32240 37492 41509 44702 45136 46865 51088 53560 56420 57680 63860 74984 83018 89404 93730 107120 111755 112840 127720 149968 166036 178808 187460 207545 223510 225680 255440 290563 332072 357616 374920 415090 447020 581126 664144 749840 830180 894040 1162252 1452815 1660360 1788080 2324504 2905630 3320720 4649008 5811260 11622520 23245040