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103842480 = 24357113547
BaseRepresentation
bin1100011000010…
…00001010110000
321020101202002210
412030020022300
5203040424410
614145412120
72400434520
oct614101260
9236352083
10103842480
1153686435
122a93a040
131868a771
14db11680
1591b3220
hex63082b0

103842480 has 160 divisors (see below), whose sum is σ = 371833344. Its totient is φ = 23482368.

The previous prime is 103842451. The next prime is 103842481. The reversal of 103842480 is 84248301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (103842481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189567 + ... + 190113.

Almost surely, 2103842480 is an apocalyptic number.

103842480 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 103842480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185916672).

103842480 is an abundant number, since it is smaller than the sum of its proper divisors (267990864).

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

103842480 is a wasteful number, since it uses less digits than its factorization.

103842480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 103842480 is about 10190.3130472032. The cubic root of 103842480 is about 470.0293930614.

The spelling of 103842480 in words is "one hundred three million, eight hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 113 120 140 168 210 226 240 280 336 339 420 452 547 560 565 678 791 840 904 1094 1130 1356 1582 1641 1680 1695 1808 2188 2260 2373 2712 2735 3164 3282 3390 3829 3955 4376 4520 4746 5424 5470 6328 6564 6780 7658 7910 8205 8752 9040 9492 10940 11487 11865 12656 13128 13560 15316 15820 16410 18984 19145 21880 22974 23730 26256 27120 30632 31640 32820 37968 38290 43760 45948 47460 57435 61264 61811 63280 65640 76580 91896 94920 114870 123622 131280 153160 183792 185433 189840 229740 247244 306320 309055 370866 432677 459480 494488 618110 741732 865354 918960 927165 988976 1236220 1298031 1483464 1730708 1854330 2163385 2472440 2596062 2966928 3461416 3708660 4326770 4944880 5192124 6490155 6922832 7417320 8653540 10384248 12980310 14834640 17307080 20768496 25960620 34614160 51921240 103842480