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104132600 = 235211213331
BaseRepresentation
bin1100011010011…
…10111111111000
321020221111001222
412031032333320
5203124220400
614155531212
72403053405
oct615167770
9236844058
10104132600
1153864400
122aa59b08
131875c830
14db892ac
15921e185
hex634eff8

104132600 has 144 divisors (see below), whose sum is σ = 287455560. Its totient is φ = 34848000.

The previous prime is 104132573. The next prime is 104132641. The reversal of 104132600 is 6231401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 314435 + ... + 314765.

Almost surely, 2104132600 is an apocalyptic number.

104132600 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 104132600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143727780).

104132600 is an abundant number, since it is smaller than the sum of its proper divisors (183322960).

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

104132600 is a wasteful number, since it uses less digits than its factorization.

104132600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 104132600 is about 10204.5382061120. The cubic root of 104132600 is about 470.4667161108.

The spelling of 104132600 in words is "one hundred four million, one hundred thirty-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 13 20 22 25 26 40 44 50 52 55 65 88 100 104 110 121 130 143 200 220 242 260 275 286 325 331 440 484 520 550 572 605 650 662 715 968 1100 1144 1210 1300 1324 1430 1573 1655 2200 2420 2600 2648 2860 3025 3146 3310 3575 3641 4303 4840 5720 6050 6292 6620 7150 7282 7865 8275 8606 12100 12584 13240 14300 14564 15730 16550 17212 18205 21515 24200 28600 29128 31460 33100 34424 36410 39325 40051 43030 47333 62920 66200 72820 78650 80102 86060 91025 94666 107575 145640 157300 160204 172120 182050 189332 200255 215150 236665 314600 320408 364100 378664 400510 430300 473330 520663 728200 801020 860600 946660 1001275 1041326 1183325 1602040 1893320 2002550 2082652 2366650 2603315 4005100 4165304 4733300 5206630 8010200 9466600 10413260 13016575 20826520 26033150 52066300 104132600