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4197420 = 223452591
BaseRepresentation
bin10000000000110000101100
321220020210000
4100000300230
52033304140
6225544300
750451243
oct20006054
97806700
104197420
112407647
1214a5090
13b3c6a6
147b395a
1557da30
hex400c2c

4197420 has 60 divisors (see below), whose sum is σ = 13172544. Its totient is φ = 1118880.

The previous prime is 4197409. The next prime is 4197443. The reversal of 4197420 is 247914.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 325 + ... + 2915.

Almost surely, 24197420 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 4197420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586272).

4197420 is an abundant number, since it is smaller than the sum of its proper divisors (8975124).

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

4197420 is a wasteful number, since it uses less digits than its factorization.

4197420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4197420 is about 2048.7606009488. The cubic root of 4197420 is about 161.3098209632.

It can be divided in two parts, 41 and 97420, that added together give a triangular number (97461 = T441).

The spelling of 4197420 in words is "four million, one hundred ninety-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 2591 5182 7773 10364 12955 15546 23319 25910 31092 38865 46638 51820 69957 77730 93276 116595 139914 155460 209871 233190 279828 349785 419742 466380 699570 839484 1049355 1399140 2098710 4197420