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1355053188 = 2232329792143
BaseRepresentation
bin101000011000100…
…0111100010000100
310111102202211112010
41100301013202010
510233343200223
6342243254220
745402522246
oct12061074204
93442684463
101355053188
1163598a575
1231997a370
13187972428
14cbd72096
157de67393
hex50c47884

1355053188 has 96 divisors (see below), whose sum is σ = 3457843200. Its totient is φ = 411675264.

The previous prime is 1355053097. The next prime is 1355053199. The reversal of 1355053188 is 8813505531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631245 + ... + 633387.

It is an arithmetic number, because the mean of its divisors is an integer number (36019200).

Almost surely, 21355053188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1355053188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728921600).

1355053188 is an abundant number, since it is smaller than the sum of its proper divisors (2102790012).

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

1355053188 is a wasteful number, since it uses less digits than its factorization.

1355053188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 39.

The square root of 1355053188 is about 36811.0470918718. The cubic root of 1355053188 is about 1106.5867032673.

The spelling of 1355053188 in words is "one billion, three hundred fifty-five million, fifty-three thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 79 87 92 116 138 158 174 237 276 316 348 474 667 948 1334 1817 2001 2143 2291 2668 3634 4002 4286 4582 5451 6429 6873 7268 8004 8572 9164 10902 12858 13746 21804 25716 27492 49289 52693 62147 98578 105386 124294 147867 158079 169297 186441 197156 210772 248588 295734 316158 338594 372882 507891 591468 632316 677188 745764 1015782 1429381 2031564 2858762 3893831 4288143 4909613 5717524 7787662 8576286 9819226 11681493 14728839 15575324 17152572 19638452 23362986 29457678 46725972 58915356 112921099 225842198 338763297 451684396 677526594 1355053188