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4291020 = 2232531769
BaseRepresentation
bin10000010111100111001100
322002000011200
4100113213030
52044303040
6231545500
751321156
oct20274714
98060150
104291020
1124709a8
12152b290
13b73186
147d9ad6
1559b630
hex4179cc

4291020 has 72 divisors (see below), whose sum is σ = 13453440. Its totient is φ = 1105920.

The previous prime is 4290997. The next prime is 4291031. The reversal of 4291020 is 201924.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4290984 and 4291002.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5196 + ... + 5964.

Almost surely, 24291020 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 4291020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6726720).

4291020 is an abundant number, since it is smaller than the sum of its proper divisors (9162420).

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

4291020 is a wasteful number, since it uses less digits than its factorization.

4291020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4291020 is about 2071.4777334068. The cubic root of 4291020 is about 162.5000552268.

Adding to 4291020 its reverse (201924), we get a palindrome (4492944).

It can be divided in two parts, 429 and 1020, that multiplied together give a triangular number (437580 = T935).

The spelling of 4291020 in words is "four million, two hundred ninety-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 769 930 1116 1395 1538 1860 2307 2790 3076 3845 4614 5580 6921 7690 9228 11535 13842 15380 23070 23839 27684 34605 46140 47678 69210 71517 95356 119195 138420 143034 214551 238390 286068 357585 429102 476780 715170 858204 1072755 1430340 2145510 4291020