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1002402114 = 2372191391291
BaseRepresentation
bin111011101111110…
…111000101000010
32120212012022012020
4323233313011002
54023103331424
6243244542310
733561164100
oct7357670502
92525168166
101002402114
114749145aa
1223b851996
1312c89b65c
14971b4c70
155d008079
hex3bbf7142

1002402114 has 96 divisors (see below), whose sum is σ = 2474438400. Its totient is φ = 269166240.

The previous prime is 1002402109. The next prime is 1002402151. The reversal of 1002402114 is 4112042001.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1002402093 and 1002402102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 775809 + ... + 777099.

It is an arithmetic number, because the mean of its divisors is an integer number (25775400).

Almost surely, 21002402114 is an apocalyptic number.

1002402114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002402114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237219200).

1002402114 is an abundant number, since it is smaller than the sum of its proper divisors (1472036286).

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

1002402114 is a wasteful number, since it uses less digits than its factorization.

1002402114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1002402114 is about 31660.7345777068. The cubic root of 1002402114 is about 1000.8000643929.

Adding to 1002402114 its reverse (4112042001), we get a palindrome (5114444115).

The spelling of 1002402114 in words is "one billion, two million, four hundred two thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 139 147 266 278 294 399 417 798 834 931 973 1291 1862 1946 2582 2641 2793 2919 3873 5282 5586 5838 6811 7746 7923 9037 13622 15846 18074 18487 20433 24529 27111 36974 40866 49058 54222 55461 63259 73587 110922 126518 129409 147174 171703 179449 189777 258818 343406 358898 379554 388227 515109 538347 776454 1030218 1076694 1201921 1256143 2403842 2512286 3409531 3605763 3768429 6819062 7211526 7536858 8793001 10228593 17586002 20457186 23866717 26379003 47733434 52758006 71600151 143200302 167067019 334134038 501201057 1002402114