Search a number
-
+
202942005 = 35717414759
BaseRepresentation
bin11000001100010…
…10011000110101
3112010212112002120
430012022120311
5403423121010
632045430153
75012656440
oct1406123065
9463775076
10202942005
11a4612372
1257b6b359
1333077436
141cd4a657
1512c3ae70
hexc18a635

202942005 has 128 divisors (see below), whose sum is σ = 418037760. Its totient is φ = 81960960.

The previous prime is 202941989. The next prime is 202942007. The reversal of 202942005 is 500249202.

It is not a de Polignac number, because 202942005 - 24 = 202941989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202942007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3439666 + ... + 3439724.

It is an arithmetic number, because the mean of its divisors is an integer number (3265920).

Almost surely, 2202942005 is an apocalyptic number.

It is an amenable number.

202942005 is an abundant number, since it is smaller than the sum of its proper divisors (215095755).

202942005 is a wasteful number, since it uses less digits than its factorization.

202942005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 202942005 is about 14245.7714778807. The cubic root of 202942005 is about 587.6570927427.

The spelling of 202942005 in words is "two hundred two million, nine hundred forty-two thousand, five".

Divisors: 1 3 5 7 15 17 21 35 41 47 51 59 85 105 119 123 141 177 205 235 255 287 295 329 357 413 595 615 697 705 799 861 885 987 1003 1239 1435 1645 1785 1927 2065 2091 2397 2419 2773 3009 3485 3995 4305 4879 4935 5015 5593 5781 6195 7021 7257 8319 9635 10455 11985 12095 13489 13865 14637 15045 16779 16933 19411 21063 24395 27965 28905 32759 35105 36285 40467 41123 41595 47141 50799 58233 67445 73185 83895 84665 97055 98277 105315 113693 123369 141423 163795 202335 205615 229313 235705 253995 287861 291165 329987 341079 491385 568465 616845 687939 707115 795851 863583 989961 1146565 1439305 1649935 1705395 1932781 2387553 3439695 3979255 4317915 4949805 5798343 9663905 11937765 13529467 28991715 40588401 67647335 202942005