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104201472 = 2831937193
BaseRepresentation
bin1100011010111…
…11110100000000
321021001222112210
412031133310000
5203133421342
614201222120
72403461244
oct615376400
9237058483
10104201472
1153901121
122aa91940
1318784c9b
14dba6424
15923479c
hex635fd00

104201472 has 144 divisors (see below), whose sum is σ = 301367360. Its totient is φ = 31850496.

The previous prime is 104201443. The next prime is 104201473. The reversal of 104201472 is 274102401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104201473) 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, 539808 + ... + 540000.

Almost surely, 2104201472 is an apocalyptic number.

104201472 is a gapful number since it is divisible by the number (12) 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 104201472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150683680).

104201472 is an abundant number, since it is smaller than the sum of its proper divisors (197165888).

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

104201472 is a wasteful number, since it uses less digits than its factorization.

104201472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 104201472 is about 10207.9122253280. The cubic root of 104201472 is about 470.5704135212.

Adding to 104201472 its reverse (274102401), we get a palindrome (378303873).

The spelling of 104201472 in words is "one hundred four million, two hundred one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 37 38 48 57 64 74 76 96 111 114 128 148 152 192 193 222 228 256 296 304 384 386 444 456 579 592 608 703 768 772 888 912 1158 1184 1216 1406 1544 1776 1824 2109 2316 2368 2432 2812 3088 3552 3648 3667 4218 4632 4736 4864 5624 6176 7104 7141 7296 7334 8436 9264 9472 11001 11248 12352 14208 14282 14592 14668 16872 18528 21423 22002 22496 24704 28416 28564 29336 33744 37056 42846 44004 44992 49408 57128 58672 67488 74112 85692 88008 89984 114256 117344 134976 135679 148224 171384 176016 179968 228512 234688 269952 271358 342768 352032 407037 457024 469376 539904 542716 685536 704064 814074 914048 938752 1085432 1371072 1408128 1628148 1828096 2170864 2742144 2816256 3256296 4341728 5484288 6512592 8683456 13025184 17366912 26050368 34733824 52100736 104201472