Search a number
-
+
61123416 = 23329531657
BaseRepresentation
bin1110100100101…
…0101101011000
311021000101120020
43221022231120
5111121422131
610022030440
71341353244
oct351125530
9137011506
1061123416
1131558a22
1218578420
13c881403
148191424
155575996
hex3a4ab58

61123416 has 64 divisors (see below), whose sum is σ = 161157600. Its totient is φ = 19289088.

The previous prime is 61123379. The next prime is 61123427. The reversal of 61123416 is 61432116.

61123416 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 (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36060 + ... + 37716.

Almost surely, 261123416 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 61123416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80578800).

61123416 is an abundant number, since it is smaller than the sum of its proper divisors (100034184).

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

61123416 is a wasteful number, since it uses less digits than its factorization.

61123416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1744 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 61123416 is about 7818.1465834301. The cubic root of 61123416 is about 393.9150185618.

The spelling of 61123416 in words is "sixty-one million, one hundred twenty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 29 53 58 87 106 116 159 174 212 232 318 348 424 636 696 1272 1537 1657 3074 3314 4611 4971 6148 6628 9222 9942 12296 13256 18444 19884 36888 39768 48053 87821 96106 144159 175642 192212 263463 288318 351284 384424 526926 576636 702568 1053852 1153272 2107704 2546809 5093618 7640427 10187236 15280854 20374472 30561708 61123416