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1060157952 = 29327231429
BaseRepresentation
bin111111001100001…
…011101000000000
32201212212121022100
4333030023220000
54132400023302
6253110510400
735162123340
oct7714135000
92655777270
101060157952
114a44823a7
12257065400
1313b840cc9
14a0b2ad20
1563115d1c
hex3f30ba00

1060157952 has 240 divisors, whose sum is σ = 3651373440. Its totient is φ = 289529856.

The previous prime is 1060157947. The next prime is 1060157957. The reversal of 1060157952 is 2597510601.

It is an interprime number because it is at equal distance from previous prime (1060157947) and next prime (1060157957).

It is a super-2 number, since 2×10601579522 = 2247869766377668608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1060157957) 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 23 ways as a sum of consecutive naturals, for example, 741174 + ... + 742602.

It is an arithmetic number, because the mean of its divisors is an integer number (15214056).

Almost surely, 21060157952 is an apocalyptic number.

1060157952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1060157952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825686720).

1060157952 is an abundant number, since it is smaller than the sum of its proper divisors (2591215488).

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

1060157952 is a wasteful number, since it uses less digits than its factorization.

1060157952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 1060157952 is about 32560.0668303982. The cubic root of 1060157952 is about 1019.6634645247.

The spelling of 1060157952 in words is "one billion, sixty million, one hundred fifty-seven thousand, nine hundred fifty-two".