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1140039978 = 237211273439
BaseRepresentation
bin100001111110011…
…1010000100101010
32221110012000211220
41003330322010222
54313322234403
6305043002510
740152115500
oct10374720452
92843160756
101140039978
11535582a00
12279969436
1315225c78c
14ab5a2670
156a144953
hex43f3a12a

1140039978 has 144 divisors (see below), whose sum is σ = 2962048320. Its totient is φ = 291392640.

The previous prime is 1140039977. The next prime is 1140039983. The reversal of 1140039978 is 8799300411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1140039977) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2596683 + ... + 2597121.

It is an arithmetic number, because the mean of its divisors is an integer number (20569780).

Almost surely, 21140039978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140039978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481024160).

1140039978 is an abundant number, since it is smaller than the sum of its proper divisors (1822008342).

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

1140039978 is a wasteful number, since it uses less digits than its factorization.

1140039978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 1140039978 is about 33764.4780501639. The cubic root of 1140039978 is about 1044.6561380173.

The spelling of 1140039978 in words is "one billion, one hundred forty million, thirty-nine thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 73 77 98 121 146 147 154 219 231 242 294 363 438 439 462 511 539 726 803 847 878 1022 1078 1317 1533 1606 1617 1694 2409 2541 2634 3066 3073 3234 3577 4818 4829 5082 5621 5929 6146 7154 8833 9219 9658 10731 11242 11858 14487 16863 17666 17787 18438 21462 21511 26499 28974 32047 33726 33803 35574 39347 43022 52998 53119 61831 64094 64533 67606 78694 96141 101409 106238 118041 123662 129066 159357 185493 192282 202818 224329 236082 236621 318714 352517 370986 371833 432817 448658 473242 672987 705034 709863 743666 865634 1057551 1115499 1298451 1345974 1419726 1570303 2115102 2230998 2467619 2596902 2602831 3140606 3877687 4710909 4935238 5205662 7402857 7755374 7808493 9421818 11633061 14805714 15616986 17273333 23266122 27143809 34546666 51819999 54287618 81431427 103639998 162862854 190006663 380013326 570019989 1140039978