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424100120 = 23583139919
BaseRepresentation
bin11001010001110…
…100000100011000
31002120000111222212
4121101310010120
51332032200440
6110025534252
713336535333
oct3121640430
91076014885
10424100120
111a8436774
12ba044388
1369b2c022
144047961a
1527374465
hex19474118

424100120 has 64 divisors (see below), whose sum is σ = 973728000. Its totient is φ = 166209408.

The previous prime is 424100107. The next prime is 424100123. The reversal of 424100120 is 21001424.

It is a junction number, because it is equal to n+sod(n) for n = 424100095 and 424100104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424100123) 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 15 ways as a sum of consecutive naturals, for example, 461021 + ... + 461939.

It is an arithmetic number, because the mean of its divisors is an integer number (15214500).

Almost surely, 2424100120 is an apocalyptic number.

424100120 is a gapful number since it is divisible by the number (40) 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 424100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486864000).

424100120 is an abundant number, since it is smaller than the sum of its proper divisors (549627880).

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

424100120 is a wasteful number, since it uses less digits than its factorization.

424100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 424100120 is about 20593.6912669876. The cubic root of 424100120 is about 751.3162781606.

Adding to 424100120 its reverse (21001424), we get a palindrome (445101544).

The spelling of 424100120 in words is "four hundred twenty-four million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 139 166 278 332 415 556 664 695 830 919 1112 1390 1660 1838 2780 3320 3676 4595 5560 7352 9190 11537 18380 23074 36760 46148 57685 76277 92296 115370 127741 152554 230740 255482 305108 381385 461480 510964 610216 638705 762770 1021928 1277410 1525540 2554820 3051080 5109640 10602503 21205006 42410012 53012515 84820024 106025030 212050060 424100120