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61620192 = 25321911261
BaseRepresentation
bin1110101100001…
…1111111100000
311021221122000100
43223003333200
5111233321232
610040422400
71345522464
oct353037740
9137848010
1061620192
1131868187
1218777a00
13c9c656a
1482804a4
155622c7c
hex3ac3fe0

61620192 has 72 divisors (see below), whose sum is σ = 184471560. Its totient is φ = 19457280.

The previous prime is 61620191. The next prime is 61620193. The reversal of 61620192 is 29102616.

It is an interprime number because it is at equal distance from previous prime (61620191) and next prime (61620193).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61620191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159 + ... + 11102.

It is an arithmetic number, because the mean of its divisors is an integer number (2562105).

Almost surely, 261620192 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 61620192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92235780).

61620192 is an abundant number, since it is smaller than the sum of its proper divisors (122851368).

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

61620192 is a wasteful number, since it uses less digits than its factorization.

61620192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11296 (or 11285 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 61620192 is about 7849.8529922541. The cubic root of 61620192 is about 394.9793120608.

The spelling of 61620192 in words is "sixty-one million, six hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 11261 22522 33783 45044 67566 90088 101349 135132 180176 202698 213959 270264 360352 405396 427918 540528 641877 810792 855836 1081056 1283754 1621584 1711672 1925631 2567508 3243168 3423344 3851262 5135016 6846688 7702524 10270032 15405048 20540064 30810096 61620192