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1358123680 = 2559299137
BaseRepresentation
bin101000011110011…
…0101001010100000
310111122112211110001
41100330311022200
510240134424210
6342433145344
745440601154
oct12074651240
93448484401
101358123680
11637697471
1231a9bb254
131884a8ba4
14cc531064
157e37203a
hex50f352a0

1358123680 has 48 divisors (see below), whose sum is σ = 3212372520. Its totient is φ = 542605312.

The previous prime is 1358123639. The next prime is 1358123707. The reversal of 1358123680 is 863218531.

It can be written as a sum of positive squares in 4 ways, for example, as 249766416 + 1108357264 = 15804^2 + 33292^2 .

It is an unprimeable number.

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, 144072 + ... + 153208.

Almost surely, 21358123680 is an apocalyptic number.

1358123680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1358123680 is an abundant number, since it is smaller than the sum of its proper divisors (1854248840).

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

1358123680 is an equidigital number, since it uses as much as digits as its factorization.

1358123680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10081 (or 10073 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 1358123680 is about 36852.7296139648. The cubic root of 1358123680 is about 1107.4218986380.

The spelling of 1358123680 in words is "one billion, three hundred fifty-eight million, one hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 929 1858 3716 4645 7432 9137 9290 14864 18274 18580 29728 36548 37160 45685 73096 74320 91370 146192 148640 182740 292384 365480 730960 1461920 8488273 16976546 33953092 42441365 67906184 84882730 135812368 169765460 271624736 339530920 679061840 1358123680