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1020141420 = 223573283823
BaseRepresentation
bin111100110011100…
…001111101101100
32122002120112221120
4330303201331230
54042124011140
6245121100540
734165026144
oct7463417554
92562515846
101020141420
11483930391
12245787750
1313346ca9c
14996b1924
155e85e1d0
hex3cce1f6c

1020141420 has 96 divisors (see below), whose sum is σ = 2909286912. Its totient is φ = 267038208.

The previous prime is 1020141413. The next prime is 1020141427. The reversal of 1020141420 is 241410201.

It is an interprime number because it is at equal distance from previous prime (1020141413) and next prime (1020141427).

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 1020141420.

It is not an unprimeable number, because it can be changed into a prime (1020141427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1239129 + ... + 1239951.

It is an arithmetic number, because the mean of its divisors is an integer number (30305072).

Almost surely, 21020141420 is an apocalyptic number.

1020141420 is a gapful number since it is divisible by the number (10) 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 1020141420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454643456).

1020141420 is an abundant number, since it is smaller than the sum of its proper divisors (1889145492).

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

1020141420 is a wasteful number, since it uses less digits than its factorization.

1020141420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1020141420 is about 31939.6527845874. The cubic root of 1020141420 is about 1006.6692291696.

Adding to 1020141420 its reverse (241410201), we get a palindrome (1261551621).

The spelling of 1020141420 in words is "one billion, twenty million, one hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 283 292 365 438 566 730 823 849 876 1095 1132 1415 1460 1646 1698 2190 2469 2830 3292 3396 4115 4245 4380 4938 5660 8230 8490 9876 12345 16460 16980 20659 24690 41318 49380 60079 61977 82636 103295 120158 123954 180237 206590 232909 240316 247908 300395 309885 360474 413180 465818 600790 619770 698727 720948 901185 931636 1164545 1201580 1239540 1397454 1802370 2329090 2794908 3493635 3604740 4658180 6987270 13974540 17002357 34004714 51007071 68009428 85011785 102014142 170023570 204028284 255035355 340047140 510070710 1020141420