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103429080 = 23325299907
BaseRepresentation
bin1100010101000…
…11001111011000
321012121202000200
412022203033120
5202434212310
614132502200
72364063336
oct612431730
9235552020
10103429080
1153423887
122a77a960
1318574551
14da44b56
1591309c0
hex62a33d8

103429080 has 96 divisors (see below), whose sum is σ = 347770800. Its totient is φ = 26627328.

The previous prime is 103429057. The next prime is 103429087. The reversal of 103429080 is 80924301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103429087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5487 + ... + 15393.

Almost surely, 2103429080 is an apocalyptic number.

103429080 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 103429080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173885400).

103429080 is an abundant number, since it is smaller than the sum of its proper divisors (244341720).

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

103429080 is a wasteful number, since it uses less digits than its factorization.

103429080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9953 (or 9946 counting only the distinct ones).

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

The square root of 103429080 is about 10170.0088495537. The cubic root of 103429080 is about 469.4048298628.

The spelling of 103429080 in words is "one hundred three million, four hundred twenty-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 5220 9907 10440 19814 29721 39628 49535 59442 79256 89163 99070 118884 148605 178326 198140 237768 287303 297210 356652 396280 445815 574606 594420 713304 861909 891630 1149212 1188840 1436515 1723818 1783260 2298424 2585727 2873030 3447636 3566520 4309545 5171454 5746060 6895272 8619090 10342908 11492120 12928635 17238180 20685816 25857270 34476360 51714540 103429080