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61005054 = 231137639
BaseRepresentation
bin1110100010110…
…1110011111110
311020210101012110
43220231303332
5111104130204
610015314450
71340351205
oct350556376
9136711173
1061005054
1131488000
121851ba26
13c83c586
14816023c
155550889
hex3a2dcfe

61005054 has 32 divisors (see below), whose sum is σ = 134219520. Its totient is φ = 18483960.

The previous prime is 61005037. The next prime is 61005059. The reversal of 61005054 is 45050016.

It is a happy number.

It is a super-2 number, since 2×610050542 = 7443233227085832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61005054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61005059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4167 + ... + 11805.

It is an arithmetic number, because the mean of its divisors is an integer number (4194360).

Almost surely, 261005054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61005054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67109760).

61005054 is an abundant number, since it is smaller than the sum of its proper divisors (73214466).

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

61005054 is a wasteful number, since it uses less digits than its factorization.

61005054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7677 (or 7655 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 61005054 is about 7810.5732184008. The cubic root of 61005054 is about 393.6605896257.

The spelling of 61005054 in words is "sixty-one million, five thousand, fifty-four".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1331 2662 3993 7639 7986 15278 22917 45834 84029 168058 252087 504174 924319 1848638 2772957 5545914 10167509 20335018 30502527 61005054