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102941424 = 2432799049
BaseRepresentation
bin1100010001011…
…00001011110000
321011200222002100
412020230023300
5202323111144
614114220400
72356662525
oct610541360
9234628070
10102941424
1153120463
122a584700
13184335b1
14d95914c
159086269
hex622c2f0

102941424 has 60 divisors (see below), whose sum is σ = 291772000. Its totient is φ = 33875712.

The previous prime is 102941417. The next prime is 102941429. The reversal of 102941424 is 424149201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102941429) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6852 + ... + 15900.

Almost surely, 2102941424 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 102941424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145886000).

102941424 is an abundant number, since it is smaller than the sum of its proper divisors (188830576).

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

102941424 is a wasteful number, since it uses less digits than its factorization.

102941424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9142 (or 9133 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 102941424 is about 10146.0053222931. The cubic root of 102941424 is about 468.6659377791.

The spelling of 102941424 in words is "one hundred two million, nine hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 632 711 948 1264 1422 1896 2844 3792 5688 9049 11376 18098 27147 36196 54294 72392 81441 108588 144784 162882 217176 325764 434352 651528 714871 1303056 1429742 2144613 2859484 4289226 5718968 6433839 8578452 11437936 12867678 17156904 25735356 34313808 51470712 102941424