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102554320 = 24511116539
BaseRepresentation
bin1100001110011…
…01101011010000
321010222022002011
412013031223100
5202223214240
614102032304
72353461121
oct607155320
9233868064
10102554320
1152986640
122a418694
131832933b
14d898048
15900b6ea
hex61cdad0

102554320 has 40 divisors (see below), whose sum is σ = 260117280. Its totient is φ = 37292160.

The previous prime is 102554299. The next prime is 102554321. The reversal of 102554320 is 23455201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 102554291 and 102554300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102554321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57390 + ... + 59149.

It is an arithmetic number, because the mean of its divisors is an integer number (6502932).

Almost surely, 2102554320 is an apocalyptic number.

102554320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102554320 is an abundant number, since it is smaller than the sum of its proper divisors (157562960).

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

102554320 is a wasteful number, since it uses less digits than its factorization.

102554320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116563 (or 116557 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 102554320 is about 10126.9106839154. The cubic root of 102554320 is about 468.0777380787.

The spelling of 102554320 in words is "one hundred two million, five hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 116539 233078 466156 582695 932312 1165390 1281929 1864624 2330780 2563858 4661560 5127716 6409645 9323120 10255432 12819290 20510864 25638580 51277160 102554320