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216532560 = 24352953587
BaseRepresentation
bin11001110100000…
…00011001010000
3120002102222211110
430322000121100
5420413020220
633253013320
75236332156
oct1472003120
9502388743
10216532560
11101255132
1260624240
1335b2539a
1420a873d6
1514022be0
hexce80650

216532560 has 160 divisors (see below), whose sum is σ = 708704640. Its totient is φ = 54605824.

The previous prime is 216532559. The next prime is 216532573. The reversal of 216532560 is 65235612.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 368587 + ... + 369173.

It is an arithmetic number, because the mean of its divisors is an integer number (4429404).

Almost surely, 2216532560 is an apocalyptic number.

216532560 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 216532560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354352320).

216532560 is an abundant number, since it is smaller than the sum of its proper divisors (492172080).

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

216532560 is a wasteful number, since it uses less digits than its factorization.

216532560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 216532560 is about 14715.0453618057. The cubic root of 216532560 is about 600.4927064010.

The spelling of 216532560 in words is "two hundred sixteen million, five hundred thirty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 53 58 60 80 87 106 116 120 145 159 174 212 232 240 265 290 318 348 424 435 464 530 580 587 636 696 795 848 870 1060 1160 1174 1272 1392 1537 1590 1740 1761 2120 2320 2348 2544 2935 3074 3180 3480 3522 4240 4611 4696 5870 6148 6360 6960 7044 7685 8805 9222 9392 11740 12296 12720 14088 15370 17023 17610 18444 23055 23480 24592 28176 30740 31111 34046 35220 36888 46110 46960 51069 61480 62222 68092 70440 73776 85115 92220 93333 102138 122960 124444 136184 140880 155555 170230 184440 186666 204276 248888 255345 272368 311110 340460 368880 373332 408552 466665 497776 510690 622220 680920 746664 817104 902219 933330 1021380 1244440 1361840 1493328 1804438 1866660 2042760 2488880 2706657 3608876 3733320 4085520 4511095 5413314 7217752 7466640 9022190 10826628 13533285 14435504 18044380 21653256 27066570 36088760 43306512 54133140 72177520 108266280 216532560