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1140299980 = 22523127131149
BaseRepresentation
bin100001111110111…
…1001100011001100
32221110200020111121
41003331321203030
54313404044410
6305052330324
740154250511
oct10375714314
92843606447
101140299980
11535740286
12279a739a4
13152320c21
14ab62d308
156a1969da
hex43f798cc

1140299980 has 96 divisors (see below), whose sum is σ = 2554675200. Its totient is φ = 426666240.

The previous prime is 1140299977. The next prime is 1140300011. The reversal of 1140299980 is 899920411.

It is a happy number.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7652946 + ... + 7653094.

It is an arithmetic number, because the mean of its divisors is an integer number (26611200).

Almost surely, 21140299980 is an apocalyptic number.

1140299980 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 1140299980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277337600).

1140299980 is an abundant number, since it is smaller than the sum of its proper divisors (1414375220).

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

1140299980 is a wasteful number, since it uses less digits than its factorization.

1140299980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 43.

The square root of 1140299980 is about 33768.3280604770. The cubic root of 1140299980 is about 1044.7355481095.

The spelling of 1140299980 in words is "one billion, one hundred forty million, two hundred ninety-nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 115 127 131 149 230 254 262 298 460 508 524 596 635 655 745 1270 1310 1490 2540 2620 2921 2980 3013 3427 5842 6026 6854 11684 12052 13708 14605 15065 16637 17135 18923 19519 29210 30130 33274 34270 37846 39038 58420 60260 66548 68540 75692 78076 83185 94615 97595 166370 189230 195190 332740 378460 382651 390380 435229 448937 765302 870458 897874 1530604 1740916 1795748 1913255 2176145 2244685 2478913 3826510 4352290 4489370 4957826 7653020 8704580 8978740 9915652 12394565 24789130 49578260 57014999 114029998 228059996 285074995 570149990 1140299980