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60996100 = 2252112712
BaseRepresentation
bin1110100010101…
…1101000000100
311020202220220211
43220223220010
5111103333400
610015205204
71340313124
oct350535004
9136686824
1060996100
1131481300
1218516804
13c838489
14815ac84
15554cdba
hex3a2ba04

60996100 has 81 divisors (see below), whose sum is σ = 147566293. Its totient is φ = 21868000.

The previous prime is 60996079. The next prime is 60996101. The reversal of 60996100 is 169906.

The square root of 60996100 is 7810.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 21958596 + 39037504 = 4686^2 + 6248^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (60996101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 859065 + ... + 859135.

Almost surely, 260996100 is an apocalyptic number.

60996100 is the 7810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60996100

60996100 is an abundant number, since it is smaller than the sum of its proper divisors (86570193).

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

60996100 is a wasteful number, since it uses less digits than its factorization.

60996100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The cubic root of 60996100 is about 393.6413288751.

Multiplying 60996100 by its product of nonzero digits (2916), we get a square (177864627600 = 4217402).

The spelling of 60996100 in words is "sixty million, nine hundred ninety-six thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 71 100 110 121 142 220 242 275 284 355 484 550 605 710 781 1100 1210 1420 1562 1775 2420 3025 3124 3550 3905 5041 6050 7100 7810 8591 10082 12100 15620 17182 19525 20164 25205 34364 39050 42955 50410 55451 78100 85910 100820 110902 126025 171820 214775 221804 252050 277255 429550 504100 554510 609961 859100 1109020 1219922 1386275 2439844 2772550 3049805 5545100 6099610 12199220 15249025 30498050 60996100