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103902480 = 24335114373
BaseRepresentation
bin1100011000101…
…10110100010000
321020111210102000
412030112310100
5203044334410
614150554000
72401104453
oct614266420
9236453360
10103902480
1153717520
122a968900
13186abb76
14db2949a
1591c5dc0
hex6316d10

103902480 has 160 divisors (see below), whose sum is σ = 390510720. Its totient is φ = 25182720.

The previous prime is 103902479. The next prime is 103902493. The reversal of 103902480 is 84209301.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21574 + ... + 25946.

It is an arithmetic number, because the mean of its divisors is an integer number (2440692).

Almost surely, 2103902480 is an apocalyptic number.

103902480 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 103902480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195255360).

103902480 is an abundant number, since it is smaller than the sum of its proper divisors (286608240).

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

103902480 is a wasteful number, since it uses less digits than its factorization.

103902480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4406 (or 4394 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 103902480 is about 10193.2565944354. The cubic root of 103902480 is about 470.1199030136.

The spelling of 103902480 in words is "one hundred three million, nine hundred two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4373 4752 5940 7920 8746 11880 13119 17492 21865 23760 26238 34984 39357 43730 48103 52476 65595 69968 78714 87460 96206 104952 118071 131190 144309 157428 174920 192412 196785 209904 236142 240515 262380 288618 314856 349840 384824 393570 432927 472284 481030 524760 577236 590355 629712 721545 769648 787140 865854 944568 962060 1049520 1154472 1180710 1298781 1443090 1574280 1731708 1889136 1924120 2164635 2308944 2361420 2597562 2886180 3148560 3463416 3848240 4329270 4722840 5195124 5772360 6493905 6926832 8658540 9445680 10390248 11544720 12987810 17317080 20780496 25975620 34634160 51951240 103902480