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102193830 = 23252349369
BaseRepresentation
bin1100001011101…
…01101010100110
321010021222120200
412011311222212
5202130200310
614050211330
72350430124
oct605655246
9233258520
10102193830
115275a812
122a283b46
131823122b
14d802914
158e899c0
hex6175aa6

102193830 has 48 divisors (see below), whose sum is σ = 277261920. Its totient is φ = 26066304.

The previous prime is 102193787. The next prime is 102193873. The reversal of 102193830 is 38391201.

It is an interprime number because it is at equal distance from previous prime (102193787) and next prime (102193873).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102193794 and 102193803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22615 + ... + 26754.

It is an arithmetic number, because the mean of its divisors is an integer number (5776290).

Almost surely, 2102193830 is an apocalyptic number.

102193830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102193830 is an abundant number, since it is smaller than the sum of its proper divisors (175068090).

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

102193830 is a wasteful number, since it uses less digits than its factorization.

102193830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49405 (or 49402 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 102193830 is about 10109.0963987886. The cubic root of 102193830 is about 467.5286455228.

The spelling of 102193830 in words is "one hundred two million, one hundred ninety-three thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 49369 98738 148107 246845 296214 444321 493690 740535 888642 1135487 1481070 2221605 2270974 3406461 4443210 5677435 6812922 10219383 11354870 17032305 20438766 34064610 51096915 102193830