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1061693248 = 2671117192329
BaseRepresentation
bin111111010010000…
…010011101000000
32201222202121100011
4333102002131000
54133243140443
6253203434304
735211146410
oct7722023500
92658677304
101061693248
114a5330940
12257685994
1313bc5aa75
14a100a640
156331ab9d
hex3f482740

1061693248 has 448 divisors, whose sum is σ = 3160166400. Its totient is φ = 340623360.

The previous prime is 1061693147. The next prime is 1061693251. The reversal of 1061693248 is 8423961601.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10616932482 = 2254385105697579008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1061693248.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 36610098 + ... + 36610126.

Almost surely, 21061693248 is an apocalyptic number.

1061693248 is the 20608-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1061693248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580083200).

1061693248 is an abundant number, since it is smaller than the sum of its proper divisors (2098473152).

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

1061693248 is a wasteful number, since it uses less digits than its factorization.

1061693248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 1061693248 is about 32583.6346652733. The cubic root of 1061693248 is about 1020.1554447191.

The spelling of 1061693248 in words is "one billion, sixty-one million, six hundred ninety-three thousand, two hundred forty-eight".