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102406425 = 352111011229
BaseRepresentation
bin1100001101010…
…01100100011001
321010200210012120
412012221210121
5202204001200
614054531453
72352304002
oct606514431
9233623176
10102406425
1152895510
122a366b89
13182a6c24
14d85a1a9
158ecc9a0
hex61a9919

102406425 has 48 divisors (see below), whose sum is σ = 186684480. Its totient is φ = 49120000.

The previous prime is 102406393. The next prime is 102406429. The reversal of 102406425 is 524604201.

It is not a de Polignac number, because 102406425 - 25 = 102406393 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102406395 and 102406404.

It is not an unprimeable number, because it can be changed into a prime (102406429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82711 + ... + 83939.

It is an arithmetic number, because the mean of its divisors is an integer number (3889260).

Almost surely, 2102406425 is an apocalyptic number.

102406425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102406425 is a deficient number, since it is larger than the sum of its proper divisors (84278055).

102406425 is a wasteful number, since it uses less digits than its factorization.

102406425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 102406425 is about 10119.6059705900. The cubic root of 102406425 is about 467.8526227084.

It can be divided in two parts, 102406 and 425, that added together give a triangular number (102831 = T453).

The spelling of 102406425 in words is "one hundred two million, four hundred six thousand, four hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 101 165 275 303 505 825 1111 1229 1515 2525 3333 3687 5555 6145 7575 13519 16665 18435 27775 30725 40557 67595 83325 92175 124129 202785 337975 372387 620645 1013925 1365419 1861935 3103225 4096257 6827095 9309675 20481285 34135475 102406425