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1003794012 = 2233133123063
BaseRepresentation
bin111011110101001…
…010111001011100
32120221211000112000
4323311022321130
54023432402022
6243334442300
733606052104
oct7365127134
92527730460
101003794012
11475685331
12240203390
1312cc68070
1497458204
155d1d06ac
hex3bd4ae5c

1003794012 has 96 divisors (see below), whose sum is σ = 2893148160. Its totient is φ = 298883520.

The previous prime is 1003793969. The next prime is 1003794049. The reversal of 1003794012 is 2104973001.

It is a super-2 number, since 2×10037940122 = 2015204837054112288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

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, 31993 + ... + 55055.

It is an arithmetic number, because the mean of its divisors is an integer number (30136960).

Almost surely, 21003794012 is an apocalyptic number.

1003794012 is a gapful number since it is divisible by the number (12) 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 1003794012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446574080).

1003794012 is an abundant number, since it is smaller than the sum of its proper divisors (1889354148).

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

1003794012 is a wasteful number, since it uses less digits than its factorization.

1003794012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23120 (or 23112 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1003794012 is about 31682.7084069528. The cubic root of 1003794012 is about 1001.2630746374.

The spelling of 1003794012 in words is "one billion, three million, seven hundred ninety-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 93 108 117 124 156 186 234 279 351 372 403 468 558 702 806 837 1116 1209 1404 1612 1674 2418 3348 3627 4836 7254 10881 14508 21762 23063 43524 46126 69189 92252 138378 207567 276756 299819 415134 599638 622701 714953 830268 899457 1199276 1245402 1429906 1798914 2144859 2490804 2698371 2859812 3597828 4289718 5396742 6434577 8095113 8579436 9294389 10793484 12869154 16190226 18588778 19303731 25738308 27883167 32380452 37177556 38607462 55766334 77214924 83649501 111532668 167299002 250948503 334598004 501897006 1003794012