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104145408 = 293297233
BaseRepresentation
bin1100011010100…
…10001000000000
321020222010122100
412031102020000
5203130123113
614200110400
72403135633
oct615221000
9236863570
10104145408
1153872a94
122aa65400
1318765603
14db8dc1a
159222d73
hex6352200

104145408 has 120 divisors (see below), whose sum is σ = 304972668. Its totient is φ = 34209792.

The previous prime is 104145389. The next prime is 104145421. The reversal of 104145408 is 804541401.

It is a happy number.

104145408 is a `hidden beast` number, since 104 + 14 + 540 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100641024 + 3504384 = 10032^2 + 1872^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 446860 + ... + 447092.

Almost surely, 2104145408 is an apocalyptic number.

104145408 is a gapful number since it is divisible by the number (18) 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 104145408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152486334).

104145408 is an abundant number, since it is smaller than the sum of its proper divisors (200827260).

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

104145408 is an equidigital number, since it uses as much as digits as its factorization.

104145408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 104145408 is about 10205.1657507362. The cubic root of 104145408 is about 470.4860039888.

Adding to 104145408 its reverse (804541401), we get a palindrome (908686809).

The spelling of 104145408 in words is "one hundred four million, one hundred forty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 128 144 192 194 233 256 288 291 384 388 466 512 576 582 699 768 776 873 932 1152 1164 1398 1536 1552 1746 1864 2097 2304 2328 2796 3104 3492 3728 4194 4608 4656 5592 6208 6984 7456 8388 9312 11184 12416 13968 14912 16776 18624 22368 22601 24832 27936 29824 33552 37248 44736 45202 49664 55872 59648 67104 67803 74496 89472 90404 111744 119296 134208 135606 148992 178944 180808 203409 223488 268416 271212 357888 361616 406818 446976 536832 542424 723232 813636 1073664 1084848 1446464 1627272 2169696 2892928 3254544 4339392 5785856 6509088 8678784 11571712 13018176 17357568 26036352 34715136 52072704 104145408