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1142610240 = 26351995981
BaseRepresentation
bin100010000011010…
…1101100101000000
32221122000121120210
41010012231211000
54320002011430
6305214034120
740213012122
oct10406554500
92848017523
101142610240
11536a78a92
1227a7a8940
1315294c645
14aba71212
156a4a12b0
hex441ad940

1142610240 has 112 divisors (see below), whose sum is σ = 3646627200. Its totient is φ = 303114240.

The previous prime is 1142610223. The next prime is 1142610241. The reversal of 1142610240 is 420162411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142610241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188050 + ... + 194030.

Almost surely, 21142610240 is an apocalyptic number.

1142610240 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 1142610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823313600).

1142610240 is an abundant number, since it is smaller than the sum of its proper divisors (2504016960).

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

1142610240 is a wasteful number, since it uses less digits than its factorization.

1142610240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6200 (or 6190 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1142610240 is about 33802.5182493849. The cubic root of 1142610240 is about 1045.4406206406.

Adding to 1142610240 its reverse (420162411), we get a palindrome (1562772651).

The spelling of 1142610240 in words is "one billion, one hundred forty-two million, six hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 199 240 320 398 480 597 796 960 995 1194 1592 1990 2388 2985 3184 3980 4776 5970 5981 6368 7960 9552 11940 11962 12736 15920 17943 19104 23880 23924 29905 31840 35886 38208 47760 47848 59810 63680 71772 89715 95520 95696 119620 143544 179430 191040 191392 239240 287088 358860 382784 478480 574176 717720 956960 1148352 1190219 1435440 1913920 2380438 2870880 3570657 4760876 5741760 5951095 7141314 9521752 11902190 14282628 17853285 19043504 23804380 28565256 35706570 38087008 47608760 57130512 71413140 76174016 95217520 114261024 142826280 190435040 228522048 285652560 380870080 571305120 1142610240