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102469024 = 257479733
BaseRepresentation
bin1100001101110…
…00110110100000
321010210222002001
412012320312200
5202213002044
614100133344
72352654340
oct606706640
9233728061
10102469024
1152928549
122a397254
13182c9578
14d874d20
158ee12d4
hex61b8da0

102469024 has 48 divisors (see below), whose sum is σ = 235484928. Its totient is φ = 42976512.

The previous prime is 102468991. The next prime is 102469049. The reversal of 102469024 is 420964201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 102468983 and 102469001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5662 + ... + 15394.

It is an arithmetic number, because the mean of its divisors is an integer number (4905936).

Almost surely, 2102469024 is an apocalyptic number.

102469024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102469024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117742464).

102469024 is an abundant number, since it is smaller than the sum of its proper divisors (133015904).

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

102469024 is an equidigital number, since it uses as much as digits as its factorization.

102469024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9797 (or 9789 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 102469024 is about 10122.6984544636. The cubic root of 102469024 is about 467.9479329418.

The spelling of 102469024 in words is "one hundred two million, four hundred sixty-nine thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 329 376 658 752 1316 1504 2632 5264 9733 10528 19466 38932 68131 77864 136262 155728 272524 311456 457451 545048 914902 1090096 1829804 2180192 3202157 3659608 6404314 7319216 12808628 14638432 25617256 51234512 102469024