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1142381220 = 223510721663
BaseRepresentation
bin100010000010111…
…0101101010100100
32221121120222102120
41010011311222210
54314422144340
6305205105540
740211036331
oct10405655244
92847528376
101142381220
11536931a12
1227a6b82b0
1315289c326
14aba11988
156a4584d0
hex44175aa4

1142381220 has 72 divisors (see below), whose sum is σ = 3230782464. Its totient is φ = 301606464.

The previous prime is 1142381189. The next prime is 1142381243. The reversal of 1142381220 is 221832411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 686109 + ... + 687771.

Almost surely, 21142381220 is an apocalyptic number.

1142381220 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 1142381220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615391232).

1142381220 is an abundant number, since it is smaller than the sum of its proper divisors (2088401244).

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

1142381220 is a wasteful number, since it uses less digits than its factorization.

1142381220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1142381220 is about 33799.1304621879. The cubic root of 1142381220 is about 1045.3707680636.

The spelling of 1142381220 in words is "one billion, one hundred forty-two million, three hundred eighty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1605 1663 2140 3210 3326 4989 6420 6652 8315 9978 11449 16630 19956 22898 24945 33260 34347 45796 49890 57245 68694 99780 114490 137388 171735 177941 228980 343470 355882 533823 686940 711764 889705 1067646 1779410 2135292 2669115 3558820 5338230 10676460 19039687 38079374 57119061 76158748 95198435 114238122 190396870 228476244 285595305 380793740 571190610 1142381220