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104881400 = 235213229107
BaseRepresentation
bin1100100000001…
…01110011111000
321022100112020022
412100011303320
5203322201100
614223550012
72412322451
oct620056370
9238315208
10104881400
1154225a48
122b15b308
1318962600
14dd02128
15931ae85
hex6405cf8

104881400 has 144 divisors (see below), whose sum is σ = 275707800. Its totient is φ = 37040640.

The previous prime is 104881391. The next prime is 104881417. The reversal of 104881400 is 4188401.

It is a super-2 number, since 2×1048814002 = 22000216131920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 104881400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 980147 + ... + 980253.

Almost surely, 2104881400 is an apocalyptic number.

104881400 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 104881400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137853900).

104881400 is an abundant number, since it is smaller than the sum of its proper divisors (170826400).

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

104881400 is a wasteful number, since it uses less digits than its factorization.

104881400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 104881400 is about 10241.1620434402. The cubic root of 104881400 is about 471.5917061899.

The spelling of 104881400 in words is "one hundred four million, eight hundred eighty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 29 40 50 52 58 65 100 104 107 116 130 145 169 200 214 232 260 290 325 338 377 428 520 535 580 650 676 725 754 845 856 1070 1160 1300 1352 1391 1450 1508 1690 1885 2140 2600 2675 2782 2900 3016 3103 3380 3770 4225 4280 4901 5350 5564 5800 6206 6760 6955 7540 8450 9425 9802 10700 11128 12412 13910 15080 15515 16900 18083 18850 19604 21400 24505 24824 27820 31030 33800 34775 36166 37700 39208 40339 49010 55640 62060 69550 72332 75400 77575 80678 90415 98020 122525 124120 139100 144664 155150 161356 180830 196040 201695 245050 278200 310300 322712 361660 403390 452075 490100 524407 620600 723320 806780 904150 980200 1008475 1048814 1613560 1808300 2016950 2097628 2622035 3616600 4033900 4195256 5244070 8067800 10488140 13110175 20976280 26220350 52440700 104881400