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423014100 = 2235219471579
BaseRepresentation
bin11001001101101…
…010111011010100
31002110222100020220
4121031222323110
51331242422400
6105550354340
713324363155
oct3115527324
91073870226
10423014100
111a7864833
12b97bb9b0
136983b902
144027592c
152720c7a0
hex1936aed4

423014100 has 144 divisors (see below), whose sum is σ = 1316582400. Its totient is φ = 104526720.

The previous prime is 423014093. The next prime is 423014107. The reversal of 423014100 is 1410324.

It is an interprime number because it is at equal distance from previous prime (423014093) and next prime (423014107).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 423014100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423014107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267111 + ... + 268689.

Almost surely, 2423014100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423014100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658291200).

423014100 is an abundant number, since it is smaller than the sum of its proper divisors (893568300).

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

423014100 is a wasteful number, since it uses less digits than its factorization.

423014100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 423014100 is about 20567.3065810767. The cubic root of 423014100 is about 750.6744155919.

Adding to 423014100 its reverse (1410324), we get a palindrome (424424424).

The spelling of 423014100 in words is "four hundred twenty-three million, fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 47 50 57 60 75 76 94 95 100 114 141 150 188 190 228 235 282 285 300 380 470 475 564 570 705 893 940 950 1140 1175 1410 1425 1579 1786 1900 2350 2679 2820 2850 3158 3525 3572 4465 4700 4737 5358 5700 6316 7050 7895 8930 9474 10716 13395 14100 15790 17860 18948 22325 23685 26790 30001 31580 39475 44650 47370 53580 60002 66975 74213 78950 89300 90003 94740 118425 120004 133950 148426 150005 157900 180006 222639 236850 267900 296852 300010 360012 371065 445278 450015 473700 600020 742130 750025 890556 900030 1113195 1410047 1484260 1500050 1800060 1855325 2226390 2250075 2820094 3000100 3710650 4230141 4452780 4500150 5565975 5640188 7050235 7421300 8460282 9000300 11131950 14100470 16920564 21150705 22263900 28200940 35251175 42301410 70502350 84602820 105753525 141004700 211507050 423014100