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102787048 = 23713271521
BaseRepresentation
bin1100010000001…
…10011111101000
321011102010022201
412020012133220
5202303141143
614111025544
72355450460
oct610063750
9234363281
10102787048
1153025481
122a50b2b4
13183ab250
14d918ba0
15905564d
hex62067e8

102787048 has 64 divisors (see below), whose sum is σ = 238533120. Its totient is φ = 40435200.

The previous prime is 102787043. The next prime is 102787051. The reversal of 102787048 is 840787201.

It is a junction number, because it is equal to n+sod(n) for n = 102786998 and 102787016.

It is not an unprimeable number, because it can be changed into a prime (102787043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197028 + ... + 197548.

It is an arithmetic number, because the mean of its divisors is an integer number (3727080).

Almost surely, 2102787048 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 102787048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119266560).

102787048 is an abundant number, since it is smaller than the sum of its proper divisors (135746072).

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

102787048 is a wasteful number, since it uses less digits than its factorization.

102787048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 37.

The square root of 102787048 is about 10138.3947447315. The cubic root of 102787048 is about 468.4315424402.

The spelling of 102787048 in words is "one hundred two million, seven hundred eighty-seven thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 271 364 521 542 728 1042 1084 1897 2084 2168 3523 3647 3794 4168 6773 7046 7294 7588 13546 14092 14588 15176 24661 27092 28184 29176 47411 49322 54184 94822 98644 141191 189644 197288 282382 379288 564764 988337 1129528 1835483 1976674 3670966 3953348 7341932 7906696 12848381 14683864 25696762 51393524 102787048