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103041408 = 2731929487
BaseRepresentation
bin1100010010001…
…00100110000000
321011220001020110
412021010212000
5202334311113
614120311320
72360560161
oct611044600
9234801213
10103041408
1153189598
122a612540
1318469c62
14d983768
1590a5bc3
hex6244980

103041408 has 128 divisors (see below), whose sum is σ = 298656000. Its totient is φ = 31352832.

The previous prime is 103041401. The next prime is 103041409. The reversal of 103041408 is 804140301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103041401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211341 + ... + 211827.

It is an arithmetic number, because the mean of its divisors is an integer number (2333250).

Almost surely, 2103041408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103041408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149328000).

103041408 is an abundant number, since it is smaller than the sum of its proper divisors (195614592).

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

103041408 is a wasteful number, since it uses less digits than its factorization.

103041408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 103041408 is about 10150.9313858384. The cubic root of 103041408 is about 468.8176225287.

Adding to 103041408 its reverse (804140301), we get a palindrome (907181709).

The spelling of 103041408 in words is "one hundred three million, forty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 64 76 87 96 114 116 128 152 174 192 228 232 304 348 384 456 464 487 551 608 696 912 928 974 1102 1216 1392 1461 1653 1824 1856 1948 2204 2432 2784 2922 3306 3648 3712 3896 4408 5568 5844 6612 7296 7792 8816 9253 11136 11688 13224 14123 15584 17632 18506 23376 26448 27759 28246 31168 35264 37012 42369 46752 52896 55518 56492 62336 70528 74024 84738 93504 105792 111036 112984 148048 169476 187008 211584 222072 225968 268337 296096 338952 444144 451936 536674 592192 677904 805011 888288 903872 1073348 1184384 1355808 1610022 1776576 1807744 2146696 2711616 3220044 3553152 4293392 5423232 6440088 8586784 12880176 17173568 25760352 34347136 51520704 103041408