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1142486800 = 245271331387
BaseRepresentation
bin100010000011000…
…1111011100010000
32221121210100020221
41010012033130100
54314434034200
6305211242424
740211656210
oct10406173420
92847710227
101142486800
115369a4274
1227a749414
131529083c0
14aba3c240
156a47991a
hex4418f710

1142486800 has 120 divisors (see below), whose sum is σ = 3378353216. Its totient is φ = 361566720.

The previous prime is 1142486753. The next prime is 1142486809. The reversal of 1142486800 is 86842411.

It is not an unprimeable number, because it can be changed into a prime (1142486809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20707 + ... + 52093.

Almost surely, 21142486800 is an apocalyptic number.

1142486800 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 1142486800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689176608).

1142486800 is an abundant number, since it is smaller than the sum of its proper divisors (2235866416).

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

1142486800 is a wasteful number, since it uses less digits than its factorization.

1142486800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31425 (or 31414 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 1142486800 is about 33800.6923006024. The cubic root of 1142486800 is about 1045.4029718042.

The spelling of 1142486800 in words is "one billion, one hundred forty-two million, four hundred eighty-six thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 130 140 175 182 200 208 260 280 325 350 364 400 455 520 560 650 700 728 910 1040 1300 1400 1456 1820 2275 2600 2800 3640 4550 5200 7280 9100 18200 31387 36400 62774 125548 156935 219709 251096 313870 408031 439418 502192 627740 784675 816062 878836 1098545 1255480 1569350 1632124 1757672 2040155 2197090 2510960 2856217 3138700 3264248 3515344 4080310 4394180 5492725 5712434 6277400 6528496 8160620 8788360 10200775 10985450 11424868 12554800 14281085 16321240 17576720 20401550 21970900 22849736 28562170 32642480 40803100 43941800 45699472 57124340 71405425 81606200 87883600 114248680 142810850 163212400 228497360 285621700 571243400 1142486800