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1068749325 = 325272923399
BaseRepresentation
bin111111101100111…
…101001000001101
32202111001002110100
4333230331020031
54142044434300
6254015001313
735325135150
oct7754751015
92674032410
101068749325
114a9310206
12259b09239
1314055b667
14a1d25c97
1563c61700
hex3fb3d20d

1068749325 has 72 divisors (see below), whose sum is σ = 2263248000. Its totient is φ = 471703680.

The previous prime is 1068749299. The next prime is 1068749347. The reversal of 1068749325 is 5239478601.

1068749325 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1068749325 - 26 = 1068749261 is a prime.

It is a super-2 number, since 2×10687493252 = 2284450239375911250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

1068749325 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33976 + ... + 57374.

It is an arithmetic number, because the mean of its divisors is an integer number (31434000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1068749325 = 2137498650, but 3⋅1068749325 = 3206247975 is not.

Almost surely, 21068749325 is an apocalyptic number.

1068749325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1068749325 is an abundant number, since it is smaller than the sum of its proper divisors (1194498675).

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

1068749325 is a wasteful number, since it uses less digits than its factorization.

1068749325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23451 (or 23443 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1068749325 is about 32691.7317528454. The cubic root of 1068749325 is about 1022.4104611707.

The spelling of 1068749325 in words is "one billion, sixty-eight million, seven hundred forty-nine thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 29 35 45 63 75 87 105 145 175 203 225 261 315 435 525 609 725 1015 1305 1575 1827 2175 3045 5075 6525 9135 15225 23399 45675 70197 116995 163793 210591 350985 491379 584975 678571 818965 1052955 1474137 1754925 2035713 2456895 3392855 4094825 4749997 5264775 6107139 7370685 10178565 12284475 14249991 16964275 23749985 30535695 36853425 42749973 50892825 71249955 118749925 152678475 213749865 356249775 1068749325