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1002020088 = 233379711633
BaseRepresentation
bin111011101110011…
…001110011111000
32120211110220011010
4323232121303320
54023004120323
6243232433520
733555013236
oct7356316370
92524426133
101002020088
11474683583
1223b6a88a0
1312c7967c4
1497115956
155ce7ec93
hex3bb99cf8

1002020088 has 64 divisors (see below), whose sum is σ = 2599500960. Its totient is φ = 321601536.

The previous prime is 1002020087. The next prime is 1002020177. The reversal of 1002020088 is 8800202001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002020087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80320 + ... + 91952.

Almost surely, 21002020088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002020088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299750480).

1002020088 is an abundant number, since it is smaller than the sum of its proper divisors (1597480872).

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

1002020088 is a wasteful number, since it uses less digits than its factorization.

1002020088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11776 (or 11772 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 1002020088 is about 31654.7008831232. The cubic root of 1002020088 is about 1000.6729097576.

Adding to 1002020088 its reverse (8800202001), we get a palindrome (9802222089).

The spelling of 1002020088 in words is "one billion, two million, twenty thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 97 111 148 194 222 291 296 388 444 582 776 888 1164 2328 3589 7178 10767 11633 14356 21534 23266 28712 34899 43068 46532 69798 86136 93064 139596 279192 430421 860842 1128401 1291263 1721684 2256802 2582526 3385203 3443368 4513604 5165052 6770406 9027208 10330104 13540812 27081624 41750837 83501674 125252511 167003348 250505022 334006696 501010044 1002020088