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13770216 = 2333371723
BaseRepresentation
bin110100100001…
…110111101000
3221220121012000
4310201313220
512011121331
61211051000
7225021255
oct64416750
927817160
1013770216
117855849
124740a60
132b11975
141b8642c
1513200e6
hexd21de8

13770216 has 64 divisors (see below), whose sum is σ = 39307200. Its totient is φ = 4463424.

The previous prime is 13770199. The next prime is 13770233. The reversal of 13770216 is 61207731.

13770216 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13770199) and next prime (13770233).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13770216.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7131 + ... + 8853.

It is an arithmetic number, because the mean of its divisors is an integer number (614175).

Almost surely, 213770216 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 13770216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19653600).

13770216 is an abundant number, since it is smaller than the sum of its proper divisors (25536984).

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

13770216 is a wasteful number, since it uses less digits than its factorization.

13770216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 13770216 is about 3710.8241672168. The cubic root of 13770216 is about 239.6883454729.

Adding to 13770216 its reverse (61207731), we get a palindrome (74977947).

The spelling of 13770216 in words is "thirteen million, seven hundred seventy thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1723 1998 2664 3446 3996 5169 6892 7992 10338 13784 15507 20676 31014 41352 46521 62028 63751 93042 124056 127502 186084 191253 255004 372168 382506 510008 573759 765012 1147518 1530024 1721277 2295036 3442554 4590072 6885108 13770216