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104036160 = 2635307353
BaseRepresentation
bin1100011001101…
…11011101000000
321020202120210010
412030313131000
5203113124120
614153504520
72402202264
oct614673500
9236676703
10104036160
11537a89a8
122aa12140
1318727977
14db620a4
1592007e0
hex6337740

104036160 has 112 divisors (see below), whose sum is σ = 332329536. Its totient is φ = 27574272.

The previous prime is 104036129. The next prime is 104036167. The reversal of 104036160 is 61630401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104036167) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 294544 + ... + 294896.

It is an arithmetic number, because the mean of its divisors is an integer number (2967228).

Almost surely, 2104036160 is an apocalyptic number.

104036160 is a gapful number since it is divisible by the number (10) 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 104036160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166164768).

104036160 is an abundant number, since it is smaller than the sum of its proper divisors (228293376).

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

104036160 is a wasteful number, since it uses less digits than its factorization.

104036160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 104036160 is about 10199.8117629690. The cubic root of 104036160 is about 470.3214339609.

Adding to 104036160 its reverse (61630401), we get a palindrome (165666561).

It can be divided in two parts, 104036 and 160, that added together give a triangular number (104196 = T456).

The spelling of 104036160 in words is "one hundred four million, thirty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 307 320 353 480 614 706 921 960 1059 1228 1412 1535 1765 1842 2118 2456 2824 3070 3530 3684 4236 4605 4912 5295 5648 6140 7060 7368 8472 9210 9824 10590 11296 12280 14120 14736 16944 18420 19648 21180 22592 24560 28240 29472 33888 36840 42360 49120 56480 58944 67776 73680 84720 98240 108371 112960 147360 169440 216742 294720 325113 338880 433484 541855 650226 866968 1083710 1300452 1625565 1733936 2167420 2600904 3251130 3467872 4334840 5201808 6502260 6935744 8669680 10403616 13004520 17339360 20807232 26009040 34678720 52018080 104036160