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1000140120 = 233257396881
BaseRepresentation
bin111011100111001…
…110110101011000
32120200221101022200
4323213032311120
54022013440440
6243124250200
733533023260
oct7347166530
92520841280
101000140120
1147360a091
1223ab40960
1312c288bb5
1496b867a0
155cc0cc30
hex3b9ced58

1000140120 has 96 divisors (see below), whose sum is σ = 3714815520. Its totient is φ = 228602880.

The previous prime is 1000140109. The next prime is 1000140133. The reversal of 1000140120 is 210410001.

It is a happy number.

It is a super-2 number, since 2×10001401202 = 2000560519267228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195921 + ... + 200960.

It is an arithmetic number, because the mean of its divisors is an integer number (38695995).

Almost surely, 21000140120 is an apocalyptic number.

1000140120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000140120 is an abundant number, since it is smaller than the sum of its proper divisors (2714675400).

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

1000140120 is a wasteful number, since it uses less digits than its factorization.

1000140120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396905 (or 396898 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1000140120 is about 31624.9920158093. The cubic root of 1000140120 is about 1000.0467044853.

Adding to 1000140120 its reverse (210410001), we get a palindrome (1210550121).

The spelling of 1000140120 in words is "one billion, one hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 396881 793762 1190643 1587524 1984405 2381286 2778167 3175048 3571929 3968810 4762572 5556334 5953215 7143858 7937620 8334501 9525144 11112668 11906430 13890835 14287716 15875240 16669002 17859645 22225336 23812860 25003503 27781670 28575432 33338004 35719290 41672505 47625720 50007006 55563340 66676008 71438580 83345010 100014012 111126680 125017515 142877160 166690020 200028024 250035030 333380040 500070060 1000140120