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3136140 = 22325719131
BaseRepresentation
bin1011111101101010001100
312220022222100
423331222030
51300324030
6151115100
735441160
oct13755214
95808870
103136140
111852257
121072a90
1385a607
145b8ca0
1541e360
hex2fda8c

3136140 has 144 divisors (see below), whose sum is σ = 11531520. Its totient is φ = 673920.

The previous prime is 3136129. The next prime is 3136163. The reversal of 3136140 is 416313.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 23875 + ... + 24005.

It is an arithmetic number, because the mean of its divisors is an integer number (80080).

Almost surely, 23136140 is an apocalyptic number.

3136140 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 3136140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5765760).

3136140 is an abundant number, since it is smaller than the sum of its proper divisors (8395380).

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

3136140 is a wasteful number, since it uses less digits than its factorization.

3136140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3136140 is about 1770.9150177239. The cubic root of 3136140 is about 146.3744065267.

The spelling of 3136140 in words is "three million, one hundred thirty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 131 133 140 171 180 190 210 228 252 262 266 285 315 342 380 393 399 420 524 532 570 630 655 665 684 786 798 855 917 1140 1179 1197 1260 1310 1330 1572 1596 1710 1834 1965 1995 2358 2394 2489 2620 2660 2751 3420 3668 3930 3990 4585 4716 4788 4978 5502 5895 5985 7467 7860 7980 8253 9170 9956 11004 11790 11970 12445 13755 14934 16506 17423 18340 22401 23580 23940 24890 27510 29868 33012 34846 37335 41265 44802 49780 52269 55020 69692 74670 82530 87115 89604 104538 112005 149340 156807 165060 174230 209076 224010 261345 313614 348460 448020 522690 627228 784035 1045380 1568070 3136140