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1140001020 = 223352972797
BaseRepresentation
bin100001111110011…
…0000100011111100
32221110010001102000
41003330300203330
54313320013040
6305042102300
740151564064
oct10374604374
92843101360
101140001020
11535556704
1227994a990
13152247b22
14ab5923a4
156a138130
hex43f308fc

1140001020 has 96 divisors (see below), whose sum is σ = 3669019200. Its totient is φ = 293513472.

The previous prime is 1140000997. The next prime is 1140001091. The reversal of 1140001020 is 201000411.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1140000993 and 1140001011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20739 + ... + 52058.

It is an arithmetic number, because the mean of its divisors is an integer number (38218950).

Almost surely, 21140001020 is an apocalyptic number.

1140001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140001020 is an abundant number, since it is smaller than the sum of its proper divisors (2529018180).

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

1140001020 is a wasteful number, since it uses less digits than its factorization.

1140001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72844 (or 72836 counting only the distinct ones).

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

The square root of 1140001020 is about 33763.9011371613. The cubic root of 1140001020 is about 1044.6442383827.

Adding to 1140001020 its reverse (201000411), we get a palindrome (1341001431).

The spelling of 1140001020 in words is "one billion, one hundred forty million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1566 1740 2610 3132 3915 5220 7830 15660 72797 145594 218391 291188 363985 436782 655173 727970 873564 1091955 1310346 1455940 1965519 2111113 2183910 2620692 3275865 3931038 4222226 4367820 6333339 6551730 7862076 8444452 9827595 10555565 12666678 13103460 19000017 19655190 21111130 25333356 31666695 38000034 39310380 42222260 57000051 63333390 76000068 95000085 114000102 126666780 190000170 228000204 285000255 380000340 570000510 1140001020