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424020120 = 233517347599
BaseRepresentation
bin11001010001100…
…000100010011000
31002112212110020220
4121101200202120
51332022120440
6110024120040
713336053156
oct3121404230
91075773226
10424020120
111a8391657
12ba006020
1369b017a4
14404583d6
152735a8d0
hex19460898

424020120 has 128 divisors (see below), whose sum is σ = 1353024000. Its totient is φ = 105936896.

The previous prime is 424020101. The next prime is 424020143. The reversal of 424020120 is 21020424.

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 424020120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 707581 + ... + 708179.

It is an arithmetic number, because the mean of its divisors is an integer number (10570500).

Almost surely, 2424020120 is an apocalyptic number.

424020120 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 424020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676512000).

424020120 is an abundant number, since it is smaller than the sum of its proper divisors (929003880).

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

424020120 is a wasteful number, since it uses less digits than its factorization.

424020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 424020120 is about 20591.7488329671. The cubic root of 424020120 is about 751.2690337489.

Adding to 424020120 its reverse (21020424), we get a palindrome (445040544).

The spelling of 424020120 in words is "four hundred twenty-four million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 347 408 510 599 680 694 1020 1041 1198 1388 1735 1797 2040 2082 2396 2776 2995 3470 3594 4164 4792 5205 5899 5990 6940 7188 8328 8985 10183 10410 11798 11980 13880 14376 17697 17970 20366 20820 23596 23960 29495 30549 35394 35940 40732 41640 47192 50915 58990 61098 70788 71880 81464 88485 101830 117980 122196 141576 152745 176970 203660 207853 235960 244392 305490 353940 407320 415706 610980 623559 707880 831412 1039265 1221960 1247118 1662824 2078530 2494236 3117795 3533501 4157060 4988472 6235590 7067002 8314120 10600503 12471180 14134004 17667505 21201006 24942360 28268008 35335010 42402012 53002515 70670020 84804024 106005030 141340040 212010060 424020120