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4060975968 = 253274742859
BaseRepresentation
bin1111001000001101…
…1001001101100000
3101111000102221202100
43302003121031200
531304102212333
61510544450400
7202430504040
oct36203311540
911430387670
104060975968
1117a4351395
12954019a00
134c945097a
142a74a7720
1518b7bc213
hexf20d9360

4060975968 has 144 divisors (see below), whose sum is σ = 13479298560. Its totient is φ = 1135565568.

The previous prime is 4060975967. The next prime is 4060975987. The reversal of 4060975968 is 8695790604.

4060975968 is a `hidden beast` number, since 40 + 6 + 0 + 9 + 7 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4060975967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73323 + ... + 116181.

It is an arithmetic number, because the mean of its divisors is an integer number (93606240).

Almost surely, 24060975968 is an apocalyptic number.

4060975968 is a gapful number since it is divisible by the number (48) 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 4060975968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739649280).

4060975968 is an abundant number, since it is smaller than the sum of its proper divisors (9418322592).

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

4060975968 is a wasteful number, since it uses less digits than its factorization.

4060975968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42929 (or 42918 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 4060975968 is about 63725.7873078081. The cubic root of 4060975968 is about 1595.4265186655.

The spelling of 4060975968 in words is "four billion, sixty million, nine hundred seventy-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 47 48 56 63 72 84 94 96 112 126 141 144 168 188 224 252 282 288 329 336 376 423 504 564 658 672 752 846 987 1008 1128 1316 1504 1692 1974 2016 2256 2632 2961 3384 3948 4512 5264 5922 6768 7896 10528 11844 13536 15792 23688 31584 42859 47376 85718 94752 128577 171436 257154 300013 342872 385731 514308 600026 685744 771462 900039 1028616 1200052 1371488 1542924 1800078 2014373 2057232 2400104 2700117 3085848 3600156 4028746 4114464 4800208 5400234 6043119 6171696 7200312 8057492 9600416 10800468 12086238 12343392 14100611 14400624 16114984 18129357 21600936 24172476 28201222 28801248 32229968 36258714 42301833 43201872 48344952 56402444 64459936 72517428 84603666 86403744 96689904 112804888 126905499 145034856 169207332 193379808 225609776 253810998 290069712 338414664 451219552 507621996 580139424 676829328 1015243992 1353658656 2030487984 4060975968