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103287870 = 23257672447
BaseRepresentation
bin1100010100000…
…00110000111110
321012100120022200
412022000300332
5202420202440
614125452330
72362634550
oct612006076
9235316280
10103287870
1153337784
122a7110a6
13185251aa
14da094d0
159103c30
hex6280c3e

103287870 has 96 divisors (see below), whose sum is σ = 311620608. Its totient is φ = 23246784.

The previous prime is 103287853. The next prime is 103287883. The reversal of 103287870 is 78782301.

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 47 ways as a sum of consecutive naturals, for example, 40987 + ... + 43433.

It is an arithmetic number, because the mean of its divisors is an integer number (3246048).

Almost surely, 2103287870 is an apocalyptic number.

103287870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103287870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155810304).

103287870 is an abundant number, since it is smaller than the sum of its proper divisors (208332738).

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

103287870 is a wasteful number, since it uses less digits than its factorization.

103287870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 103287870 is about 10163.0640064894. The cubic root of 103287870 is about 469.1911090385.

The spelling of 103287870 in words is "one hundred three million, two hundred eighty-seven thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 67 70 90 105 126 134 201 210 315 335 402 469 603 630 670 938 1005 1206 1407 2010 2345 2447 2814 3015 4221 4690 4894 6030 7035 7341 8442 12235 14070 14682 17129 21105 22023 24470 34258 36705 42210 44046 51387 73410 85645 102774 110115 154161 163949 171290 220230 256935 308322 327898 491847 513870 770805 819745 983694 1147643 1475541 1541610 1639490 2295286 2459235 2951082 3442929 4918470 5738215 6885858 7377705 10328787 11476430 14755410 17214645 20657574 34429290 51643935 103287870