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103426830 = 232513109811
BaseRepresentation
bin1100010101000…
…10101100001110
321012121121221100
412022202230032
5202434124310
614132443530
72364053643
oct612425416
9235547840
10103426830
1153422121
122a7795a6
1318573510
14da43dca
15912eec0
hex62a2b0e

103426830 has 96 divisors (see below), whose sum is σ = 292612320. Its totient is φ = 25194240.

The previous prime is 103426801. The next prime is 103426849. The reversal of 103426830 is 38624301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 103426794 and 103426803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127125 + ... + 127935.

It is an arithmetic number, because the mean of its divisors is an integer number (3048045).

Almost surely, 2103426830 is an apocalyptic number.

103426830 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 103426830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146306160).

103426830 is an abundant number, since it is smaller than the sum of its proper divisors (189185490).

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

103426830 is a wasteful number, since it uses less digits than its factorization.

103426830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 103426830 is about 10169.8982295793. The cubic root of 103426830 is about 469.4014260215.

The spelling of 103426830 in words is "one hundred three million, four hundred twenty-six thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 109 117 130 195 218 234 327 390 545 585 654 811 981 1090 1170 1417 1622 1635 1962 2433 2834 3270 4055 4251 4866 4905 7085 7299 8110 8502 9810 10543 12165 12753 14170 14598 21086 21255 24330 25506 31629 36495 42510 52715 63258 63765 72990 88399 94887 105430 127530 158145 176798 189774 265197 316290 441995 474435 530394 795591 883990 948870 1149187 1325985 1591182 2298374 2651970 3447561 3977955 5745935 6895122 7955910 10342683 11491870 17237805 20685366 34475610 51713415 103426830