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104739440 = 24513261127
BaseRepresentation
bin1100011111000…
…11001001110000
321022002022111112
412033203021300
5203303130230
614220532452
72411161541
oct617431160
9238068445
10104739440
1154139323
122b0b1128
1318912b00
14dca64c8
1592ddd95
hex63e3270

104739440 has 120 divisors (see below), whose sum is σ = 270125568. Its totient is φ = 37739520.

The previous prime is 104739433. The next prime is 104739449. The reversal of 104739440 is 44937401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 104739397 and 104739406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104739449) 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 23 ways as a sum of consecutive naturals, for example, 824657 + ... + 824783.

Almost surely, 2104739440 is an apocalyptic number.

104739440 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 104739440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135062784).

104739440 is an abundant number, since it is smaller than the sum of its proper divisors (165386128).

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

104739440 is a wasteful number, since it uses less digits than its factorization.

104739440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 104739440 is about 10234.2288424678. The cubic root of 104739440 is about 471.3788391283.

The spelling of 104739440 in words is "one hundred four million, seven hundred thirty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 61 65 80 104 122 127 130 169 208 244 254 260 305 338 488 508 520 610 635 676 793 845 976 1016 1040 1220 1270 1352 1586 1651 1690 2032 2440 2540 2704 3172 3302 3380 3965 4880 5080 6344 6604 6760 7747 7930 8255 10160 10309 12688 13208 13520 15494 15860 16510 20618 21463 26416 30988 31720 33020 38735 41236 42926 51545 61976 63440 66040 77470 82472 85852 100711 103090 107315 123952 132080 154940 164944 171704 201422 206180 214630 309880 343408 402844 412360 429260 503555 619760 805688 824720 858520 1007110 1309243 1611376 1717040 2014220 2618486 4028440 5236972 6546215 8056880 10473944 13092430 20947888 26184860 52369720 104739440