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104556420 = 22345233277
BaseRepresentation
bin1100011101101…
…10011110000100
321021202000110000
412032312132010
5203231301140
614213001300
72406500133
oct616663604
9237660400
10104556420
1154023871
122b023230
131887a707
14dc5991a
1592a4a30
hex63b6784

104556420 has 120 divisors (see below), whose sum is σ = 330594264. Its totient is φ = 27661824.

The previous prime is 104556377. The next prime is 104556451. The reversal of 104556420 is 24655401.

104556420 is a `hidden beast` number, since 10 + 4 + 5 + 5 + 642 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26244 + 104530176 = 162^2 + 10224^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 377322 + ... + 377598.

Almost surely, 2104556420 is an apocalyptic number.

104556420 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 104556420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165297132).

104556420 is an abundant number, since it is smaller than the sum of its proper divisors (226037844).

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

104556420 is a wasteful number, since it uses less digits than its factorization.

104556420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 104556420 is about 10225.2833701565. The cubic root of 104556420 is about 471.1041191376.

It can be divided in two parts, 104556 and 420, that added together give a 4-th power (104976 = 184).

The spelling of 104556420 in words is "one hundred four million, five hundred fifty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 233 270 277 324 405 466 540 554 699 810 831 932 1108 1165 1385 1398 1620 1662 2097 2330 2493 2770 2796 3324 3495 4155 4194 4660 4986 5540 6291 6990 7479 8310 8388 9972 10485 12465 12582 13980 14958 16620 18873 20970 22437 24930 25164 29916 31455 37395 37746 41940 44874 49860 62910 64541 74790 75492 89748 94365 112185 125820 129082 149580 188730 193623 224370 258164 322705 377460 387246 448740 580869 645410 774492 968115 1161738 1290820 1742607 1936230 2323476 2904345 3485214 3872460 5227821 5808690 6970428 8713035 10455642 11617380 17426070 20911284 26139105 34852140 52278210 104556420