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1002041430 = 2351312720231
BaseRepresentation
bin111011101110011…
…111000001010110
32120211111222102120
4323232133001112
54023010311210
6243233120410
733555132405
oct7356370126
92524458376
101002041430
11474698615
1223b6b9106
1312c7a3430
149711d63c
155ce86270
hex3bb9f056

1002041430 has 64 divisors (see below), whose sum is σ = 2610413568. Its totient is φ = 244702080.

The previous prime is 1002041429. The next prime is 1002041441. The reversal of 1002041430 is 341402001.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 39415 + ... + 59645.

It is an arithmetic number, because the mean of its divisors is an integer number (40787712).

Almost surely, 21002041430 is an apocalyptic number.

1002041430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002041430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305206784).

1002041430 is an abundant number, since it is smaller than the sum of its proper divisors (1608372138).

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

1002041430 is a wasteful number, since it uses less digits than its factorization.

1002041430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20381.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1002041430 is about 31655.0379876569. The cubic root of 1002041430 is about 1000.6800141426.

Adding to 1002041430 its reverse (341402001), we get a palindrome (1343443431).

The spelling of 1002041430 in words is "one billion, two million, forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 127 130 195 254 381 390 635 762 1270 1651 1905 3302 3810 4953 8255 9906 16510 20231 24765 40462 49530 60693 101155 121386 202310 263003 303465 526006 606930 789009 1315015 1578018 2569337 2630030 3945045 5138674 7708011 7890090 12846685 15416022 25693370 33401381 38540055 66802762 77080110 100204143 167006905 200408286 334013810 501020715 1002041430