Search a number
-
+
1069738425 = 325274191621
BaseRepresentation
bin111111110000101…
…110100110111001
32202112220100020200
4333300232212321
54142323112200
6254052112413
735336424630
oct7760564671
92675810220
101069738425
114a9926348
1225a305709
13140816922
14a2102517
1563da9800
hex3fc2e9b9

1069738425 has 72 divisors (see below), whose sum is σ = 2196317760. Its totient is φ = 487555200.

The previous prime is 1069738409. The next prime is 1069738429. The reversal of 1069738425 is 5248379601.

1069738425 is a `hidden beast` number, since 106 + 97 + 38 + 425 = 666.

1069738425 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 1069738425 - 24 = 1069738409 is a prime.

It is a super-2 number, since 2×10697384252 = 2288680595842961250, which contains 22 as substring.

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

1069738425 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (1069738429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 659115 + ... + 660735.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1069738425 = 2139476850, but 3⋅1069738425 = 3209215275 is not.

Almost surely, 21069738425 is an apocalyptic number.

1069738425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1069738425 is an abundant number, since it is smaller than the sum of its proper divisors (1126579335).

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

1069738425 is a wasteful number, since it uses less digits than its factorization.

1069738425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2055 counting only the distinct ones).

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

The square root of 1069738425 is about 32706.8559326634. The cubic root of 1069738425 is about 1022.7257687789.

The spelling of 1069738425 in words is "one billion, sixty-nine million, seven hundred thirty-eight thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 419 525 1257 1575 1621 2095 2933 3771 4863 6285 8105 8799 10475 11347 14589 14665 18855 24315 26397 31425 34041 40525 43995 56735 72945 73325 94275 102123 121575 131985 170205 219975 283675 364725 510615 659925 679199 851025 2037597 2553075 3395995 4754393 6112791 10187985 14263179 16979975 23771965 30563955 42789537 50939925 71315895 118859825 152819775 213947685 356579475 1069738425