Search a number
-
+
216687960 = 233752477
BaseRepresentation
bin11001110101001…
…10010101011000
3120002201220000000
430322212111120
5420433003320
633300213000
75240550216
oct1472462530
9502656000
10216687960
11101350965
126069a160
1335b7b038
1420ac7cb6
1514053c90
hexcea6558

216687960 has 128 divisors (see below), whose sum is σ = 731505600. Its totient is φ = 57760128.

The previous prime is 216687949. The next prime is 216688063. The reversal of 216687960 is 69786612.

216687960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 86242 + ... + 88718.

Almost surely, 2216687960 is an apocalyptic number.

216687960 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 216687960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365752800).

216687960 is an abundant number, since it is smaller than the sum of its proper divisors (514817640).

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

216687960 is an equidigital number, since it uses as much as digits as its factorization.

216687960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 216687960 is about 14720.3247246791. The cubic root of 216687960 is about 600.6363249124.

The spelling of 216687960 in words is "two hundred sixteen million, six hundred eighty-seven 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 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1944 2187 2430 2477 2916 3240 3645 4374 4860 4954 5832 7290 7431 8748 9720 9908 10935 12385 14580 14862 17496 19816 21870 22293 24770 29160 29724 37155 43740 44586 49540 59448 66879 74310 87480 89172 99080 111465 133758 148620 178344 200637 222930 267516 297240 334395 401274 445860 535032 601911 668790 802548 891720 1003185 1203822 1337580 1605096 1805733 2006370 2407644 2675160 3009555 3611466 4012740 4815288 5417199 6019110 7222932 8025480 9028665 10834398 12038220 14445864 18057330 21668796 24076440 27085995 36114660 43337592 54171990 72229320 108343980 216687960