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60948096 = 2731147307
BaseRepresentation
bin1110100001111…
…1111010000000
311020200111001220
43220133322000
5111100314341
610014155040
71340023146
oct350377200
9136614056
1060948096
1131449230
12184b2a80
13c81c681
148147596
15553da66
hex3a1fe80

60948096 has 128 divisors (see below), whose sum is σ = 180956160. Its totient is φ = 18017280.

The previous prime is 60948061. The next prime is 60948103. The reversal of 60948096 is 69084906.

60948096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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, 198375 + ... + 198681.

It is an arithmetic number, because the mean of its divisors is an integer number (1413720).

Almost surely, 260948096 is an apocalyptic number.

60948096 is a gapful number since it is divisible by the number (66) 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 60948096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90478080).

60948096 is an abundant number, since it is smaller than the sum of its proper divisors (120008064).

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

60948096 is a wasteful number, since it uses less digits than its factorization.

60948096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 60948096 is about 7806.9261556646. The cubic root of 60948096 is about 393.5380363823.

The spelling of 60948096 in words is "sixty million, nine hundred forty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 64 66 88 94 96 128 132 141 176 188 192 264 282 307 352 376 384 517 528 564 614 704 752 921 1034 1056 1128 1228 1408 1504 1551 1842 2068 2112 2256 2456 3008 3102 3377 3684 4136 4224 4512 4912 6016 6204 6754 7368 8272 9024 9824 10131 12408 13508 14429 14736 16544 18048 19648 20262 24816 27016 28858 29472 33088 39296 40524 43287 49632 54032 57716 58944 66176 81048 86574 99264 108064 115432 117888 158719 162096 173148 198528 216128 230864 317438 324192 346296 432256 461728 476157 634876 648384 692592 923456 952314 1269752 1296768 1385184 1846912 1904628 2539504 2770368 3809256 5079008 5540736 7618512 10158016 15237024 20316032 30474048 60948096