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383127420 = 2235134311423
BaseRepresentation
bin10110110101100…
…000111101111100
3222200220220000110
4112311200331330
51241040034140
6102003430020
712331346364
oct2665407574
9880826013
10383127420
111872a1335
12a8385310
13614b4820
1438c519a4
152397e380
hex16d60f7c

383127420 has 96 divisors (see below), whose sum is σ = 1182246912. Its totient is φ = 92107008.

The previous prime is 383127413. The next prime is 383127449. The reversal of 383127420 is 24721383.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27829 + ... + 39251.

It is an arithmetic number, because the mean of its divisors is an integer number (12315072).

Almost surely, 2383127420 is an apocalyptic number.

383127420 is a gapful number since it is divisible by the number (30) 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 383127420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591123456).

383127420 is an abundant number, since it is smaller than the sum of its proper divisors (799119492).

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

383127420 is a wasteful number, since it uses less digits than its factorization.

383127420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11491 (or 11489 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 383127420 is about 19573.6409489906. The cubic root of 383127420 is about 726.2972699100.

The spelling of 383127420 in words is "three hundred eighty-three million, one hundred twenty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 43 52 60 65 78 86 129 130 156 172 195 215 258 260 390 430 516 559 645 780 860 1118 1290 1677 2236 2580 2795 3354 5590 6708 8385 11180 11423 16770 22846 33540 34269 45692 57115 68538 114230 137076 148499 171345 228460 296998 342690 445497 491189 593996 685380 742495 890994 982378 1473567 1484990 1781988 1964756 2227485 2455945 2947134 2969980 4454970 4911890 5894268 6385457 7367835 8909940 9823780 12770914 14735670 19156371 25541828 29471340 31927285 38312742 63854570 76625484 95781855 127709140 191563710 383127420