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1055009280 = 29351310567
BaseRepresentation
bin111110111000100…
…010101000000000
32201112012000122210
4332320202220000
54130040244110
6252404302120
735100300543
oct7670425000
92645160583
101055009280
114a15860a6
122553a1940
1313a75a660
14a018a85a
156294a520
hex3ee22a00

1055009280 has 160 divisors (see below), whose sum is σ = 3632517504. Its totient is φ = 259670016.

The previous prime is 1055009279. The next prime is 1055009281. The reversal of 1055009280 is 829005501.

It is an interprime number because it is at equal distance from previous prime (1055009279) and next prime (1055009281).

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×10550092802 = 2226089161772236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1055009281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94557 + ... + 105123.

Almost surely, 21055009280 is an apocalyptic number.

1055009280 is a gapful number since it is divisible by the number (10) 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 1055009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816258752).

1055009280 is an abundant number, since it is smaller than the sum of its proper divisors (2577508224).

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

1055009280 is a wasteful number, since it uses less digits than its factorization.

1055009280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10606 (or 10590 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 1055009280 is about 32480.9063912939. The cubic root of 1055009280 is about 1018.0101151402.

The spelling of 1055009280 in words is "one billion, fifty-five million, nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 512 520 624 640 768 780 832 960 1040 1248 1280 1536 1560 1664 1920 2080 2496 2560 3120 3328 3840 4160 4992 6240 6656 7680 8320 9984 10567 12480 16640 19968 21134 24960 31701 33280 42268 49920 52835 63402 84536 99840 105670 126804 137371 158505 169072 211340 253608 274742 317010 338144 412113 422680 507216 549484 634020 676288 686855 824226 845360 1014432 1098968 1268040 1352576 1373710 1648452 1690720 2028864 2060565 2197936 2536080 2705152 2747420 3296904 3381440 4057728 4121130 4395872 5072160 5410304 5494840 6593808 6762880 8115456 8242260 8791744 10144320 10989680 13187616 13525760 16230912 16484520 17583488 20288640 21979360 26375232 27051520 32969040 35166976 40577280 43958720 52750464 65938080 70333952 81154560 87917440 105500928 131876160 175834880 211001856 263752320 351669760 527504640 1055009280