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2003140692 = 223476114479
BaseRepresentation
bin111011101100101…
…1000000001010100
312011121021002110000
41313121120001110
513100301000232
6530434131300
7100432262220
oct16731300124
95147232400
102003140692
119387a2283
1247aa20b30
1325c006a67
14150075780
15bacd327c
hex77658054

2003140692 has 120 divisors (see below), whose sum is σ = 6083221760. Its totient is φ = 562904640.

The previous prime is 2003140637. The next prime is 2003140697. The reversal of 2003140692 is 2960413002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003140697) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 131109 + ... + 145587.

Almost surely, 22003140692 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003140692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041610880).

2003140692 is an abundant number, since it is smaller than the sum of its proper divisors (4080081068).

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

2003140692 is a wasteful number, since it uses less digits than its factorization.

2003140692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14563 (or 14552 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2003140692 is about 44756.4597795670. The cubic root of 2003140692 is about 1260.5802089729.

Adding to 2003140692 its reverse (2960413002), we get a palindrome (4963553694).

The spelling of 2003140692 in words is "two billion, three million, one hundred forty thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 61 63 81 84 108 122 126 162 183 189 244 252 324 366 378 427 549 567 732 756 854 1098 1134 1281 1647 1708 2196 2268 2562 3294 3843 4941 5124 6588 7686 9882 11529 14479 15372 19764 23058 28958 34587 43437 46116 57916 69174 86874 101353 130311 138348 173748 202706 260622 304059 390933 405412 521244 608118 781866 883219 912177 1172799 1216236 1563732 1766438 1824354 2345598 2649657 2736531 3532876 3648708 4691196 5299314 5473062 6182533 7948971 8209593 10598628 10946124 12365066 15897942 16419186 18547599 23846913 24730132 31795884 32838372 37095198 47693826 55642797 71540739 74190396 95387652 111285594 143081478 166928391 222571188 286162956 333856782 500785173 667713564 1001570346 2003140692