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1056148940 = 225721197973
BaseRepresentation
bin111110111100111…
…000110111001100
32201121022220222102
4332330320313030
54130333231230
6252444534232
735113055300
oct7674706714
92647286872
101056148940
114a2194370
12255851378
1313aa69302
14a03a5d00
1562ac3045
hex3ef38dcc

1056148940 has 72 divisors (see below), whose sum is σ = 2814597072. Its totient is φ = 329185920.

The previous prime is 1056148909. The next prime is 1056148943. The reversal of 1056148940 is 498416501.

It is a super-2 number, since 2×10561489402 = 2230901166926247200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1056148894 and 1056148903.

It is not an unprimeable number, because it can be changed into a prime (1056148943) 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 23 ways as a sum of consecutive naturals, for example, 38207 + ... + 59766.

It is an arithmetic number, because the mean of its divisors is an integer number (39091626).

Almost surely, 21056148940 is an apocalyptic number.

1056148940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056148940 is an abundant number, since it is smaller than the sum of its proper divisors (1758448132).

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

1056148940 is a wasteful number, since it uses less digits than its factorization.

1056148940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98007 (or 97998 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 1056148940 is about 32498.4451935781. The cubic root of 1056148940 is about 1018.3765472724.

The spelling of 1056148940 in words is "one billion, fifty-six million, one hundred forty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 5390 10780 97973 195946 391892 489865 685811 979730 1077703 1371622 1959460 2155406 2743244 3429055 4310812 4800677 5388515 6858110 7543921 9601354 10777030 13716220 15087842 19202708 21554060 24003385 30175684 37719605 48006770 52807447 75439210 96013540 105614894 150878420 211229788 264037235 528074470 1056148940