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216039936 = 293771283
BaseRepresentation
bin11001110000010…
…00001000000000
3120001111222002010
430320020020000
5420301234221
633234252520
75232211020
oct1470101000
9501458063
10216039936
11100a49002
1260427140
13359b20a8
1420999a80
1513e76c76
hexce08200

216039936 has 160 divisors (see below), whose sum is σ = 669385728. Its totient is φ = 60641280.

The previous prime is 216039931. The next prime is 216039949. The reversal of 216039936 is 639930612.

It is a junction number, because it is equal to n+sod(n) for n = 216039894 and 216039903.

It is not an unprimeable number, because it can be changed into a prime (216039931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 763251 + ... + 763533.

Almost surely, 2216039936 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 216039936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334692864).

216039936 is an abundant number, since it is smaller than the sum of its proper divisors (453345792).

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

216039936 is an equidigital number, since it uses as much as digits as its factorization.

216039936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 216039936 is about 14698.2970442157. The cubic root of 216039936 is about 600.0369754991.

The spelling of 216039936 in words is "two hundred sixteen million, thirty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 71 84 96 112 128 142 168 192 213 224 256 283 284 336 384 426 448 497 512 566 568 672 768 849 852 896 994 1132 1136 1344 1491 1536 1698 1704 1792 1981 1988 2264 2272 2688 2982 3396 3408 3584 3962 3976 4528 4544 5376 5943 5964 6792 6816 7924 7952 9056 9088 10752 11886 11928 13584 13632 15848 15904 18112 18176 20093 23772 23856 27168 27264 31696 31808 36224 36352 40186 47544 47712 54336 54528 60279 63392 63616 72448 80372 95088 95424 108672 109056 120558 126784 127232 140651 144896 160744 190176 190848 217344 241116 253568 254464 281302 321488 380352 381696 421953 434688 482232 507136 562604 642976 760704 763392 843906 964464 1014272 1125208 1285952 1521408 1687812 1928928 2250416 2571904 3042816 3375624 3857856 4500832 5143808 6751248 7715712 9001664 10287616 13502496 15431424 18003328 27004992 30862848 36006656 54009984 72013312 108019968 216039936