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104757400 = 235211172801
BaseRepresentation
bin1100011111001…
…11100010011000
321022010020010201
412033213202120
5203304214100
614221151544
72411265106
oct617474230
9238106121
10104757400
1154150870
122b0bb5b4
131891b037
14dcacc76
1592e436a
hex63e7898

104757400 has 96 divisors (see below), whose sum is σ = 281432880. Its totient is φ = 35840000.

The previous prime is 104757353. The next prime is 104757403. The reversal of 104757400 is 4757401.

It is a super-2 number, since 2×1047574002 = 21948225709520000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104757403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36000 + ... + 38800.

Almost surely, 2104757400 is an apocalyptic number.

104757400 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 104757400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140716440).

104757400 is an abundant number, since it is smaller than the sum of its proper divisors (176675480).

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

104757400 is a wasteful number, since it uses less digits than its factorization.

104757400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 104757400 is about 10235.1062525017. The cubic root of 104757400 is about 471.4057805240.

Subtracting from 104757400 its reverse (4757401), we obtain a palindrome (99999999).

The spelling of 104757400 in words is "one hundred four million, seven hundred fifty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 136 170 187 200 220 275 340 374 425 440 550 680 748 850 935 1100 1496 1700 1870 2200 2801 3400 3740 4675 5602 7480 9350 11204 14005 18700 22408 28010 30811 37400 47617 56020 61622 70025 95234 112040 123244 140050 154055 190468 238085 246488 280100 308110 380936 476170 523787 560200 616220 770275 952340 1047574 1190425 1232440 1540550 1904680 2095148 2380850 2618935 3081100 4190296 4761700 5237870 6162200 9523400 10475740 13094675 20951480 26189350 52378700 104757400