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202640640 = 2835113467
BaseRepresentation
bin11000001010000…
…00110100000000
3112010022012200220
430011000310000
5403334000030
632035143040
75010263016
oct1405006400
9463265626
10202640640
11a4426a04
1257a44a80
1332ca0207
141ccac8b6
1512bcba10
hexc140d00

202640640 has 144 divisors (see below), whose sum is σ = 654308928. Its totient is φ = 53444608.

The previous prime is 202640623. The next prime is 202640657. The reversal of 202640640 is 46046202.

It is an interprime number because it is at equal distance from previous prime (202640623) and next prime (202640657).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 202640640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433687 + ... + 434153.

It is an arithmetic number, because the mean of its divisors is an integer number (4543812).

Almost surely, 2202640640 is an apocalyptic number.

202640640 is a gapful number since it is divisible by the number (20) 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 202640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327154464).

202640640 is an abundant number, since it is smaller than the sum of its proper divisors (451668288).

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

202640640 is a wasteful number, since it uses less digits than its factorization.

202640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 202640640 is about 14235.1901989401. The cubic root of 202640640 is about 587.3660621185.

Adding to 202640640 its reverse (46046202), we get a palindrome (248686842).

The spelling of 202640640 in words is "two hundred two million, six hundred forty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 113 120 128 160 192 226 240 256 320 339 384 452 467 480 565 640 678 768 904 934 960 1130 1280 1356 1401 1695 1808 1868 1920 2260 2335 2712 2802 3390 3616 3736 3840 4520 4670 5424 5604 6780 7005 7232 7472 9040 9340 10848 11208 13560 14010 14464 14944 18080 18680 21696 22416 27120 28020 28928 29888 36160 37360 43392 44832 52771 54240 56040 59776 72320 74720 86784 89664 105542 108480 112080 119552 144640 149440 158313 179328 211084 216960 224160 263855 298880 316626 358656 422168 433920 448320 527710 597760 633252 791565 844336 896640 1055420 1266504 1583130 1688672 1793280 2110840 2533008 3166260 3377344 4221680 5066016 6332520 6754688 8443360 10132032 12665040 13509376 16886720 20264064 25330080 33773440 40528128 50660160 67546880 101320320 202640640