Search a number
-
+
16779972 = 22311235527
BaseRepresentation
bin100000000000…
…0101011000100
31011120111210110
41000000223010
513243424342
61355353020
7262425126
oct100005304
934514713
1016779972
119521050
125752770
1336268a1
14232b216
151716c9c
hex1000ac4

16779972 has 48 divisors (see below), whose sum is σ = 44577792. Its totient is φ = 4862880.

The previous prime is 16779953. The next prime is 16779979. The reversal of 16779972 is 27997761.

It is not an unprimeable number, because it can be changed into a prime (16779979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273 + ... + 5799.

It is an arithmetic number, because the mean of its divisors is an integer number (928704).

Almost surely, 216779972 is an apocalyptic number.

16779972 is a gapful number since it is divisible by the number (12) 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 16779972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22288896).

16779972 is an abundant number, since it is smaller than the sum of its proper divisors (27797820).

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

16779972 is a wasteful number, since it uses less digits than its factorization.

16779972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5568 (or 5566 counting only the distinct ones).

The product of its digits is 333396, while the sum is 48.

The square root of 16779972 is about 4096.3364119662. The cubic root of 16779972 is about 256.0140169734.

The spelling of 16779972 in words is "sixteen million, seven hundred seventy-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 5527 11054 16581 22108 33162 60797 66324 121594 127121 182391 243188 254242 364782 381363 508484 729564 762726 1398331 1525452 2796662 4194993 5593324 8389986 16779972