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202120704 = 293314621
BaseRepresentation
bin11000000110000…
…01111000000000
3112002022210111000
430003001320000
5403220330304
632020052000
75002666122
oct1403017000
9462283430
10202120704
11a4101305
1257834000
1332b4a666
141cbb5212
1512b27939
hexc0c1e00

202120704 has 80 divisors (see below), whose sum is σ = 598332240. Its totient is φ = 67368960.

The previous prime is 202120697. The next prime is 202120739. The reversal of 202120704 is 407021202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6514 + ... + 21134.

It is an arithmetic number, because the mean of its divisors is an integer number (7479153).

Almost surely, 2202120704 is an apocalyptic number.

202120704 is a gapful number since it is divisible by the number (24) 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 202120704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299166120).

202120704 is an abundant number, since it is smaller than the sum of its proper divisors (396211536).

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

202120704 is an equidigital number, since it uses as much as digits as its factorization.

202120704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14648 (or 14626 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 202120704 is about 14216.9161212972. The cubic root of 202120704 is about 586.8632766187.

Adding to 202120704 its reverse (407021202), we get a palindrome (609141906).

The spelling of 202120704 in words is "two hundred two million, one hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 14621 29242 43863 58484 87726 116968 131589 175452 233936 263178 350904 394767 467872 526356 701808 789534 935744 1052712 1403616 1579068 1871488 2105424 2807232 3158136 3742976 4210848 5614464 6316272 7485952 8421696 11228928 12632544 16843392 22457856 25265088 33686784 50530176 67373568 101060352 202120704