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1052215120 = 245112941231
BaseRepresentation
bin111110101101111…
…000011101010000
32201022221001210101
4332231320131100
54123331340440
6252224342144
735034452365
oct7655703520
92638831711
101052215120
1149aa47880
12254474954
13139cbc8c8
149da6046c
156259769a
hex3eb78750

1052215120 has 80 divisors (see below), whose sum is σ = 2760894720. Its totient is φ = 369420800.

The previous prime is 1052215111. The next prime is 1052215133. The reversal of 1052215120 is 215122501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10522151202 = 2214313317513228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4905 + ... + 46135.

It is an arithmetic number, because the mean of its divisors is an integer number (34511184).

Almost surely, 21052215120 is an apocalyptic number.

1052215120 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 1052215120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380447360).

1052215120 is an abundant number, since it is smaller than the sum of its proper divisors (1708679600).

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

1052215120 is a wasteful number, since it uses less digits than its factorization.

1052215120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41284 (or 41278 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 1052215120 is about 32437.8655278056. The cubic root of 1052215120 is about 1017.1105976116.

Adding to 1052215120 its reverse (215122501), we get a palindrome (1267337621).

The spelling of 1052215120 in words is "one billion, fifty-two million, two hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 440 464 580 638 880 1160 1276 1595 2320 2552 3190 5104 6380 12760 25520 41231 82462 164924 206155 329848 412310 453541 659696 824620 907082 1195699 1649240 1814164 2267705 2391398 3298480 3628328 4535410 4782796 5978495 7256656 9070820 9565592 11956990 13152689 18141640 19131184 23913980 26305378 36283280 47827960 52610756 65763445 95655920 105221512 131526890 210443024 263053780 526107560 1052215120