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202053960 = 23335613067
BaseRepresentation
bin11000000101100…
…01100101001000
3112002012101221000
430002301211020
5403211211320
632014415000
75002300413
oct1402614510
9462171830
10202053960
11a4066149
1257801460
1332b26174
141cb98b7a
1512b12c90
hexc0b1948

202053960 has 128 divisors (see below), whose sum is σ = 684777600. Its totient is φ = 52980480.

The previous prime is 202053931. The next prime is 202053979. The reversal of 202053960 is 69350202.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 64347 + ... + 67413.

It is an arithmetic number, because the mean of its divisors is an integer number (5349825).

Almost surely, 2202053960 is an apocalyptic number.

202053960 is a gapful number since it is divisible by the number (20) 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 202053960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342388800).

202053960 is an abundant number, since it is smaller than the sum of its proper divisors (482723640).

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

202053960 is a wasteful number, since it uses less digits than its factorization.

202053960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3148 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 202053960 is about 14214.5685829715. The cubic root of 202053960 is about 586.7986717991.

The spelling of 202053960 in words is "two hundred two million, fifty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 61 72 90 108 120 122 135 180 183 216 244 270 305 360 366 488 540 549 610 732 915 1080 1098 1220 1464 1647 1830 2196 2440 2745 3067 3294 3660 4392 5490 6134 6588 7320 8235 9201 10980 12268 13176 15335 16470 18402 21960 24536 27603 30670 32940 36804 46005 55206 61340 65880 73608 82809 92010 110412 122680 138015 165618 184020 187087 220824 276030 331236 368040 374174 414045 552060 561261 662472 748348 828090 935435 1104120 1122522 1496696 1656180 1683783 1870870 2245044 2806305 3312360 3367566 3741740 4490088 5051349 5612610 6735132 7483480 8418915 10102698 11225220 13470264 16837830 20205396 22450440 25256745 33675660 40410792 50513490 67351320 101026980 202053960