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1002185940 = 2235716314639
BaseRepresentation
bin111011101111000…
…010010011010100
32120211210022122210
4323233002103110
54023024422230
6243240153420
733556303620
oct7357022324
92524708583
101002185940
11474787148
1223b768870
1312c824142
149715a180
155ceb3eb0
hex3bbc24d4

1002185940 has 96 divisors (see below), whose sum is σ = 3226890240. Its totient is φ = 227650176.

The previous prime is 1002185939. The next prime is 1002185981. The reversal of 1002185940 is 495812001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1002185898 and 1002185907.

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, 61141 + ... + 75779.

It is an arithmetic number, because the mean of its divisors is an integer number (33613440).

Almost surely, 21002185940 is an apocalyptic number.

1002185940 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 1002185940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613445120).

1002185940 is an abundant number, since it is smaller than the sum of its proper divisors (2224704300).

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

1002185940 is a wasteful number, since it uses less digits than its factorization.

1002185940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14821 (or 14819 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 1002185940 is about 31657.3204804197. The cubic root of 1002185940 is about 1000.7281163845.

Adding to 1002185940 its reverse (495812001), we get a palindrome (1497997941).

The spelling of 1002185940 in words is "one billion, two million, one hundred eighty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 163 210 326 420 489 652 815 978 1141 1630 1956 2282 2445 3260 3423 4564 4890 5705 6846 9780 11410 13692 14639 17115 22820 29278 34230 43917 58556 68460 73195 87834 102473 146390 175668 204946 219585 292780 307419 409892 439170 512365 614838 878340 1024730 1229676 1537095 2049460 2386157 3074190 4772314 6148380 7158471 9544628 11930785 14316942 16703099 23861570 28633884 33406198 35792355 47723140 50109297 66812396 71584710 83515495 100218594 143169420 167030990 200437188 250546485 334061980 501092970 1002185940