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1054142976 = 2931733967
BaseRepresentation
bin111110110101001…
…111001000000000
32201110120000022110
4332311033020000
54124330033401
6252333535320
735060032065
oct7665171000
92643500273
101054142976
114a1044247
12255044540
1313a516253
14a0002c6c
15628289d6
hex3ed4f200

1054142976 has 80 divisors (see below), whose sum is σ = 2825247744. Its totient is φ = 349261824.

The previous prime is 1054142951. The next prime is 1054142977. The reversal of 1054142976 is 6792414501.

It is a super-2 number, since 2×10541429762 = 2222434827700273152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1054142977) 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, 263745 + ... + 267711.

Almost surely, 21054142976 is an apocalyptic number.

1054142976 is a gapful number since it is divisible by the number (16) 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 1054142976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412623872).

1054142976 is an abundant number, since it is smaller than the sum of its proper divisors (1771104768).

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

1054142976 is an equidigital number, since it uses as much as digits as its factorization.

1054142976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4161 (or 4145 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1054142976 is about 32467.5680641467. The cubic root of 1054142976 is about 1017.7313979290.

The spelling of 1054142976 in words is "one billion, fifty-four million, one hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 256 346 384 512 519 692 768 1038 1384 1536 2076 2768 3967 4152 5536 7934 8304 11072 11901 15868 16608 22144 23802 31736 33216 44288 47604 63472 66432 88576 95208 126944 132864 190416 253888 265728 380832 507776 686291 761664 1015552 1372582 1523328 2031104 2058873 2745164 3046656 4117746 5490328 6093312 8235492 10980656 16470984 21961312 32941968 43922624 65883936 87845248 131767872 175690496 263535744 351380992 527071488 1054142976