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102454144 = 2713232677
BaseRepresentation
bin1100001101101…
…01001110000000
321010210012122221
412012311032000
5202212013034
614055540424
72352563062
oct606651600
9233705587
10102454144
1152918351
122a38a714
13182c2870
14d86d732
158edbbb4
hex61b5380

102454144 has 64 divisors (see below), whose sum is σ = 229451040. Its totient is φ = 45213696.

The previous prime is 102454127. The next prime is 102454153. The reversal of 102454144 is 441454201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 36934 + ... + 39610.

Almost surely, 2102454144 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 102454144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114725520).

102454144 is an abundant number, since it is smaller than the sum of its proper divisors (126996896).

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

102454144 is a wasteful number, since it uses less digits than its factorization.

102454144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 102454144 is about 10121.9634458933. The cubic root of 102454144 is about 467.9252808854.

The spelling of 102454144 in words is "one hundred two million, four hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 299 368 416 598 736 832 1196 1472 1664 2392 2677 2944 4784 5354 9568 10708 19136 21416 34801 38272 42832 61571 69602 85664 123142 139204 171328 246284 278408 342656 492568 556816 800423 985136 1113632 1600846 1970272 2227264 3201692 3940544 4454528 6403384 7881088 12806768 25613536 51227072 102454144