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1060052640 = 25354674729
BaseRepresentation
bin111111001011110…
…001111010100000
32201212200020211220
4333023301322200
54132333141030
6253104335040
735161204323
oct7713617240
92655606756
101060052640
114a4410269
12257014480
1313b8050aa
14a0b007ba
15630e4a10
hex3f2f1ea0

1060052640 has 96 divisors (see below), whose sum is σ = 3347023680. Its totient is φ = 282015744.

The previous prime is 1060052639. The next prime is 1060052659. The reversal of 1060052640 is 462500601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10600526402 = 2247423199141939200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1060052640.

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, 221796 + ... + 226524.

It is an arithmetic number, because the mean of its divisors is an integer number (34864830).

Almost surely, 21060052640 is an apocalyptic number.

1060052640 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 1060052640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673511840).

1060052640 is an abundant number, since it is smaller than the sum of its proper divisors (2286971040).

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

1060052640 is a wasteful number, since it uses less digits than its factorization.

1060052640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5214 (or 5206 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1060052640 is about 32558.4495945369. The cubic root of 1060052640 is about 1019.6297002620.

The spelling of 1060052640 in words is "one billion, sixty million, fifty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 467 480 934 1401 1868 2335 2802 3736 4670 4729 5604 7005 7472 9340 9458 11208 14010 14187 14944 18680 18916 22416 23645 28020 28374 37360 37832 44832 47290 56040 56748 70935 74720 75664 94580 112080 113496 141870 151328 189160 224160 226992 283740 378320 453984 567480 756640 1134960 2208443 2269920 4416886 6625329 8833772 11042215 13250658 17667544 22084430 26501316 33126645 35335088 44168860 53002632 66253290 70670176 88337720 106005264 132506580 176675440 212010528 265013160 353350880 530026320 1060052640