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1055004160 = 2957113521
BaseRepresentation
bin111110111000100…
…001011000000000
32201112011202122011
4332320201120000
54130040113120
6252404222304
735100246610
oct7670413000
92645152564
101055004160
114a1582271
1225539a994
1313a758222
14a0188a40
1562948c5a
hex3ee21600

1055004160 has 160 divisors (see below), whose sum is σ = 2922080832. Its totient is φ = 357826560.

The previous prime is 1055004109. The next prime is 1055004161. The reversal of 1055004160 is 614005501.

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

It is a super-2 number, since 2×10550041602 = 2226067555234611200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055004161) 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, 2024700 + ... + 2025220.

Almost surely, 21055004160 is an apocalyptic number.

1055004160 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 1055004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461040416).

1055004160 is an abundant number, since it is smaller than the sum of its proper divisors (1867076672).

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

1055004160 is an equidigital number, since it uses as much as digits as its factorization.

1055004160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 1055004160 is about 32480.8275756638. The cubic root of 1055004160 is about 1018.0084683236.

Adding to 1055004160 its reverse (614005501), we get a palindrome (1669009661).

The spelling of 1055004160 in words is "one billion, fifty-five million, four thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 113 128 140 160 224 226 256 280 320 448 452 512 521 560 565 640 791 896 904 1042 1120 1130 1280 1582 1792 1808 2084 2240 2260 2560 2605 3164 3584 3616 3647 3955 4168 4480 4520 5210 6328 7232 7294 7910 8336 8960 9040 10420 12656 14464 14588 15820 16672 17920 18080 18235 20840 25312 28928 29176 31640 33344 36160 36470 41680 50624 57856 58352 58873 63280 66688 72320 72940 83360 101248 116704 117746 126560 133376 144640 145880 166720 202496 233408 235492 253120 266752 289280 291760 294365 333440 404992 412111 466816 470984 506240 583520 588730 666880 824222 933632 941968 1012480 1167040 1177460 1333760 1648444 1867264 1883936 2024960 2060555 2334080 2354920 3296888 3767872 4121110 4668160 4709840 6593776 7535744 8242220 9336320 9419680 13187552 15071488 16484440 18839360 26375104 30142976 32968880 37678720 52750208 65937760 75357440 105500416 131875520 150714880 211000832 263751040 527502080 1055004160