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1060948992 = 21032911909
BaseRepresentation
bin111111001111001…
…100110000000000
32201221100210102010
4333033030300000
54133100331432
6253135452520
735201626515
oct7717146000
92657323363
101060948992
114a4972754
12257387140
1313ba5a08c
14a0c9530c
15632203cc
hex3f3ccc00

1060948992 has 88 divisors (see below), whose sum is σ = 2925572400. Its totient is φ = 341426176.

The previous prime is 1060948981. The next prime is 1060948997. The reversal of 1060948992 is 2998490601.

It is a super-2 number, since 2×10609489922 = 2251225527251632128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (1060948997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83134 + ... + 95042.

Almost surely, 21060948992 is an apocalyptic number.

1060948992 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 1060948992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462786200).

1060948992 is an abundant number, since it is smaller than the sum of its proper divisors (1864623408).

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

1060948992 is a wasteful number, since it uses less digits than its factorization.

1060948992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11961 (or 11943 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 1060948992 is about 32572.2119605040. The cubic root of 1060948992 is about 1019.9170097800.

The spelling of 1060948992 in words is "one billion, sixty million, nine hundred forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1024 1392 1536 1856 2784 3072 3712 5568 7424 11136 11909 14848 22272 23818 29696 35727 44544 47636 71454 89088 95272 142908 190544 285816 345361 381088 571632 690722 762176 1036083 1143264 1381444 1524352 2072166 2286528 2762888 3048704 4144332 4573056 5525776 6097408 8288664 9146112 11051552 12194816 16577328 18292224 22103104 33154656 36584448 44206208 66309312 88412416 132618624 176824832 265237248 353649664 530474496 1060948992