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1142411220 = 2232517221961
BaseRepresentation
bin100010000010111…
…1100111111010100
32221121122111120200
41010011330333110
54314424124340
6305205500500
740211222646
oct10405747724
92847574520
101142411220
11536952505
1227a711730
131528acb92
14aba1c896
156a462330
hex4417cfd4

1142411220 has 108 divisors (see below), whose sum is σ = 3681314364. Its totient is φ = 286709760.

The previous prime is 1142411183. The next prime is 1142411227. The reversal of 1142411220 is 221142411.

1142411220 is a `hidden beast` number, since 11 + 424 + 11 + 220 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 156200004 + 986211216 = 12498^2 + 31404^2 .

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 = 1142411193 and 1142411202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142411227) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41040 + ... + 63000.

Almost surely, 21142411220 is an apocalyptic number.

1142411220 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 1142411220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840657182).

1142411220 is an abundant number, since it is smaller than the sum of its proper divisors (2538903144).

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

1142411220 is a wasteful number, since it uses less digits than its factorization.

1142411220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22010 (or 21988 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1142411220 is about 33799.5742576737. The cubic root of 1142411220 is about 1045.3799187884.

Adding to 1142411220 its reverse (221142411), we get a palindrome (1363553631).

The spelling of 1142411220 in words is "one billion, one hundred forty-two million, four hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 289 306 340 510 578 612 765 867 1020 1156 1445 1530 1734 2601 2890 3060 3468 4335 5202 5780 8670 10404 13005 17340 21961 26010 43922 52020 65883 87844 109805 131766 197649 219610 263532 329415 373337 395298 439220 658830 746674 790596 988245 1120011 1317660 1493348 1866685 1976490 2240022 3360033 3733370 3952980 4480044 5600055 6346729 6720066 7466740 11200110 12693458 13440132 16800165 19040187 22400220 25386916 31733645 33600330 38080374 57120561 63467290 67200660 76160748 95200935 114241122 126934580 190401870 228482244 285602805 380803740 571205610 1142411220