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104953440 = 2535415333
BaseRepresentation
bin1100100000101…
…11011001100000
321022111012001110
412100113121200
5203332002230
614225303320
72413042464
oct620273140
9238435043
10104953440
1154275089
122b194b40
1318989337
14dd204a4
1593324b0
hex6417660

104953440 has 96 divisors (see below), whose sum is σ = 338730336. Its totient is φ = 27299840.

The previous prime is 104953379. The next prime is 104953441. The reversal of 104953440 is 44359401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1049534402 = 22030449135667200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 104953398 and 104953407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104953441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17014 + ... + 22346.

It is an arithmetic number, because the mean of its divisors is an integer number (3528441).

Almost surely, 2104953440 is an apocalyptic number.

104953440 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 104953440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169365168).

104953440 is an abundant number, since it is smaller than the sum of its proper divisors (233776896).

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

104953440 is a wasteful number, since it uses less digits than its factorization.

104953440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5392 (or 5384 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 104953440 is about 10244.6786186781. The cubic root of 104953440 is about 471.6996557120.

The spelling of 104953440 in words is "one hundred four million, nine hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1230 1312 1640 1968 2460 3280 3936 4920 5333 6560 9840 10666 15999 19680 21332 26665 31998 42664 53330 63996 79995 85328 106660 127992 159990 170656 213320 218653 255984 319980 426640 437306 511968 639960 655959 853280 874612 1093265 1279920 1311918 1749224 2186530 2559840 2623836 3279795 3498448 4373060 5247672 6559590 6996896 8746120 10495344 13119180 17492240 20990688 26238360 34984480 52476720 104953440