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1002021690 = 235436311231
BaseRepresentation
bin111011101110011…
…010001100111010
32120211110222100110
4323232122030322
54023004143230
6243232445150
733555021015
oct7356321472
92524428313
101002021690
114746847aa
1223b6a97b6
1312c797457
149711637c
155ce804b0
hex3bb9a33a

1002021690 has 64 divisors (see below), whose sum is σ = 2466680832. Its totient is φ = 260366400.

The previous prime is 1002021689. The next prime is 1002021731. The reversal of 1002021690 is 961202001.

It is a super-2 number, since 2×10020216902 = 2008094934460912200, which contains 22 as substring.

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, 813375 + ... + 814605.

It is an arithmetic number, because the mean of its divisors is an integer number (38541888).

Almost surely, 21002021690 is an apocalyptic number.

1002021690 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 1002021690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233340416).

1002021690 is an abundant number, since it is smaller than the sum of its proper divisors (1464659142).

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

1002021690 is a wasteful number, since it uses less digits than its factorization.

1002021690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 1002021690 is about 31654.7261874116. The cubic root of 1002021690 is about 1000.6734430393.

Adding to 1002021690 its reverse (961202001), we get a palindrome (1963223691).

The spelling of 1002021690 in words is "one billion, two million, twenty-one thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 631 645 1231 1262 1290 1893 2462 3155 3693 3786 6155 6310 7386 9465 12310 18465 18930 27133 36930 52933 54266 81399 105866 135665 158799 162798 264665 271330 317598 406995 529330 776761 793995 813990 1553522 1587990 2330283 3883805 4660566 7767610 11651415 23302830 33400723 66801446 100202169 167003615 200404338 334007230 501010845 1002021690