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102747392 = 2811231107
BaseRepresentation
bin1100001111111…
…00110100000000
321011100002220222
412013330310000
5202300404032
614110122212
72355224036
oct607746400
9234302828
10102747392
1152aa8700
122a4b0368
1318396197
14d908556
159048a12
hex61fcd00

102747392 has 108 divisors (see below), whose sum is σ = 234880128. Its totient is φ = 44774400.

The previous prime is 102747373. The next prime is 102747413. The reversal of 102747392 is 293747201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 960203 + ... + 960309.

It is an arithmetic number, because the mean of its divisors is an integer number (2174816).

Almost surely, 2102747392 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 102747392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117440064).

102747392 is an abundant number, since it is smaller than the sum of its proper divisors (132132736).

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

102747392 is a wasteful number, since it uses less digits than its factorization.

102747392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 102747392 is about 10136.4388223873. The cubic root of 102747392 is about 468.3712932452.

The spelling of 102747392 in words is "one hundred two million, seven hundred forty-seven thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 107 121 124 128 176 214 242 248 256 341 352 428 484 496 682 704 856 968 992 1177 1364 1408 1712 1936 1984 2354 2728 2816 3317 3424 3751 3872 3968 4708 5456 6634 6848 7502 7744 7936 9416 10912 12947 13268 13696 15004 15488 18832 21824 25894 26536 27392 30008 30976 36487 37664 43648 51788 53072 60016 72974 75328 87296 103576 106144 120032 145948 150656 207152 212288 240064 291896 301312 401357 414304 424576 480128 583792 802714 828608 849152 960256 1167584 1605428 1657216 2335168 3210856 3314432 4670336 6421712 9340672 12843424 25686848 51373696 102747392