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1052898960 = 2435103191223
BaseRepresentation
bin111110110000011…
…111011010010000
32201101012210211210
4332300133122100
54124020231320
6252251140120
735043331161
oct7660373220
92641183753
101052898960
114a0374633
12254744640
1313a19bc49
149db9b768
15626800e0
hex3ec1f690

1052898960 has 160 divisors (see below), whose sum is σ = 3327787008. Its totient is φ = 275351040.

The previous prime is 1052898949. The next prime is 1052899009. The reversal of 1052898960 is 698982501.

It is a happy number.

It is a super-2 number, since 2×10528989602 = 2217192439938163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4721409 + ... + 4721631.

Almost surely, 21052898960 is an apocalyptic number.

1052898960 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 1052898960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663893504).

1052898960 is an abundant number, since it is smaller than the sum of its proper divisors (2274888048).

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

1052898960 is a wasteful number, since it uses less digits than its factorization.

1052898960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The square root of 1052898960 is about 32448.4045832765. The cubic root of 1052898960 is about 1017.3308916921.

The spelling of 1052898960 in words is "one billion, fifty-two million, eight hundred ninety-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 191 206 223 240 309 382 412 446 515 573 618 669 764 824 892 955 1030 1115 1146 1236 1338 1528 1545 1648 1784 1910 2060 2230 2292 2472 2676 2865 3056 3090 3345 3568 3820 4120 4460 4584 4944 5352 5730 6180 6690 7640 8240 8920 9168 10704 11460 12360 13380 15280 17840 19673 22920 22969 24720 26760 39346 42593 45840 45938 53520 59019 68907 78692 85186 91876 98365 114845 118038 127779 137814 157384 170372 183752 196730 212965 229690 236076 255558 275628 295095 314768 340744 344535 367504 393460 425930 459380 472152 511116 551256 590190 638895 681488 689070 786920 851860 918760 944304 1022232 1102512 1180380 1277790 1378140 1573840 1703720 1837520 2044464 2360760 2555580 2756280 3407440 4387079 4721520 5111160 5512560 8774158 10222320 13161237 17548316 21935395 26322474 35096632 43870790 52644948 65806185 70193264 87741580 105289896 131612370 175483160 210579792 263224740 350966320 526449480 1052898960