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103387480 = 23573143277
BaseRepresentation
bin1100010100110…
…01000101011000
321012112121221221
412022121011120
5202431344410
614131541424
72363531140
oct612310530
9235477857
10103387480
11533a55a9
122a75a874
131855b631
14da33920
1591234da
hex6299158

103387480 has 128 divisors (see below), whose sum is σ = 281825280. Its totient is φ = 33384960.

The previous prime is 103387463. The next prime is 103387513. The reversal of 103387480 is 84783301.

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, 373102 + ... + 373378.

It is an arithmetic number, because the mean of its divisors is an integer number (2201760).

Almost surely, 2103387480 is an apocalyptic number.

103387480 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 103387480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140912640).

103387480 is an abundant number, since it is smaller than the sum of its proper divisors (178437800).

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

103387480 is a wasteful number, since it uses less digits than its factorization.

103387480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 103387480 is about 10167.9634145683. The cubic root of 103387480 is about 469.3418886361.

The spelling of 103387480 in words is "one hundred three million, three hundred eighty-seven thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 43 56 62 70 86 124 140 155 172 215 217 248 277 280 301 310 344 430 434 554 602 620 860 868 1085 1108 1204 1240 1333 1385 1505 1720 1736 1939 2170 2216 2408 2666 2770 3010 3878 4340 5332 5540 6020 6665 7756 8587 8680 9331 9695 10664 11080 11911 12040 13330 15512 17174 18662 19390 23822 26660 34348 37324 38780 42935 46655 47644 53320 59555 60109 68696 74648 77560 83377 85870 93310 95288 119110 120218 166754 171740 186620 238220 240436 300545 333508 343480 369241 373240 416885 476440 480872 601090 667016 738482 833770 1202180 1476964 1667540 1846205 2404360 2584687 2953928 3335080 3692410 5169374 7384820 10338748 12923435 14769640 20677496 25846870 51693740 103387480