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23408700 = 22352771157
BaseRepresentation
bin101100101001…
…1000000111100
31122001021200220
41121103000330
521443034300
62153421340
7402653640
oct131230074
948037626
1023408700
1112239337
127a0a850
134b07b03
143174c20
1520c5da0
hex165303c

23408700 has 144 divisors (see below), whose sum is σ = 78994944. Its totient is φ = 5241600.

The previous prime is 23408683. The next prime is 23408701. The reversal of 23408700 is 780432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23408701) 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 47 ways as a sum of consecutive naturals, for example, 149022 + ... + 149178.

It is an arithmetic number, because the mean of its divisors is an integer number (548576).

Almost surely, 223408700 is an apocalyptic number.

23408700 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 23408700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39497472).

23408700 is an abundant number, since it is smaller than the sum of its proper divisors (55586244).

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

23408700 is a wasteful number, since it uses less digits than its factorization.

23408700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 23408700 is about 4838.2538172361. The cubic root of 23408700 is about 286.0612938543.

The spelling of 23408700 in words is "twenty-three million, four hundred eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 71 75 84 100 105 140 142 150 157 175 210 213 284 300 314 350 355 420 426 471 497 525 628 700 710 785 852 942 994 1050 1065 1099 1420 1491 1570 1775 1884 1988 2100 2130 2198 2355 2485 2982 3140 3297 3550 3925 4260 4396 4710 4970 5325 5495 5964 6594 7100 7455 7850 9420 9940 10650 10990 11147 11775 12425 13188 14910 15700 16485 21300 21980 22294 23550 24850 27475 29820 32970 33441 37275 44588 47100 49700 54950 55735 65940 66882 74550 78029 82425 109900 111470 133764 149100 156058 164850 167205 222940 234087 278675 312116 329700 334410 390145 468174 557350 668820 780290 836025 936348 1114700 1170435 1560580 1672050 1950725 2340870 3344100 3901450 4681740 5852175 7802900 11704350 23408700