Search a number
-
+
202678098 = 2375989919
BaseRepresentation
bin11000001010010…
…01111101010010
3112010101010002020
430011021331102
5403341144343
632040032310
75010510150
oct1405117522
9463333066
10202678098
11a4452067
1257a62696
1332cb428c
141ccbc3d0
1512bd7b83
hexc149f52

202678098 has 64 divisors (see below), whose sum is σ = 476928000. Its totient is φ = 56225664.

The previous prime is 202678061. The next prime is 202678103. The reversal of 202678098 is 890876202.

It is a happy number.

It is a super-2 number, since 2×2026780982 = 82156822817795208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220083 + ... + 221001.

It is an arithmetic number, because the mean of its divisors is an integer number (7452000).

Almost surely, 2202678098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202678098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238464000).

202678098 is an abundant number, since it is smaller than the sum of its proper divisors (274249902).

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

202678098 is a wasteful number, since it uses less digits than its factorization.

202678098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079.

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 202678098 is about 14236.5058213032. The cubic root of 202678098 is about 587.4022513095.

The spelling of 202678098 in words is "two hundred two million, six hundred seventy-eight thousand, ninety-eight".

Divisors: 1 2 3 6 7 14 21 42 59 89 118 177 178 267 354 413 534 623 826 919 1239 1246 1838 1869 2478 2757 3738 5251 5514 6433 10502 12866 15753 19299 31506 36757 38598 54221 73514 81791 108442 110271 162663 163582 220542 245373 325326 379547 490746 572537 759094 1138641 1145074 1717611 2277282 3435222 4825669 9651338 14477007 28954014 33779683 67559366 101339049 202678098