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3136080 = 243573179
BaseRepresentation
bin1011111101101001010000
312220022220010
423331221100
51300323310
6151114520
735441043
oct13755120
95808803
103136080
111852202
121072a40
1385a58c
145b8c5a
1541e320
hex2fda50

3136080 has 80 divisors (see below), whose sum is σ = 9910080. Its totient is φ = 820224.

The previous prime is 3136079. The next prime is 3136087. The reversal of 3136080 is 806313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3136087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17431 + ... + 17609.

It is an arithmetic number, because the mean of its divisors is an integer number (123876).

Almost surely, 23136080 is an apocalyptic number.

3136080 is a gapful number since it is divisible by the number (30) 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 3136080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4955040).

3136080 is an abundant number, since it is smaller than the sum of its proper divisors (6774000).

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

3136080 is a wasteful number, since it uses less digits than its factorization.

3136080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3136080 is about 1770.8980772478. The cubic root of 3136080 is about 146.3734730521.

The spelling of 3136080 in words is "three million, one hundred thirty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 179 219 240 292 358 365 438 537 584 716 730 876 895 1074 1095 1168 1432 1460 1752 1790 2148 2190 2685 2864 2920 3504 3580 4296 4380 5370 5840 7160 8592 8760 10740 13067 14320 17520 21480 26134 39201 42960 52268 65335 78402 104536 130670 156804 196005 209072 261340 313608 392010 522680 627216 784020 1045360 1568040 3136080